(c) Softease Limited 1995 - !TextEase - version 4.00, saved on 5.95 Windows 13 0 -6000 628 0 F:\Year_12\Circles\circles_-_lesson_2.et yyyn 45 0 1 0 0 1 0 0 n 0 0 F0F0F000 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 0 0 0 0 -1 0 0 65536  0 0 0 0 0 0 0 0 0 0 0 1 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 C0C0C000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 40408000 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 4D4D9900 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 C0C0C000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 80808000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 C0C0C000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 FFFF0000 DDDDDD00 nyn 00 5 nn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 3 nnn 80 0 -937 375 -427 829 0 0 0 0 nynynnnnn 1920 1440 0 0 0 0 0 79 0 2057 10 12038 12028 13 0 -1065 1494 0 F:\Year_12\Circles\circles_-_lesson_2.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 1 0 0 -1 -1 -1 0 0  0 0 0 0 12 0 1230 0 0 0 1838 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yy 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 35 288 8 -74 0 yyyyyg 41 -54 Easiteach 10 2 n 0 nny 0 16777248 0 0 0 0 0 0 0 Core 1(c) 16 0 94000 10 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 0000057A 22 1023 1248 -121 -329 0 yyyyyg Outline 3 n 0 n 0 0 0 0 0 n 43 5 0000000a 43 2 00000079 43 1 0000ff00 22 1158 1305 -104 -238 0 yyyyyf Outline 4 n 0 n 0 0 0 0 0 n 43 5 0000000a 43 2 00000079 43 1 ff702800 15 301 1256 -554 -876 0 yyyayf 307 -616 Easiteach 70 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 - the equation of a circle - the equations of tangents and normals 16 0 240400 27 56 -14 0 1 0 16 28 0 0 56 -14 0 1 0 16 29 374800 39 56 -14 0 1 0 16 69 0 0 56 -14 0 1 0 16 70 0 0 56 -14 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 00000425 23 35 31 UK_English 23 35 43 US_English 15 446 832 -317 -454 0 yyyaye 452 -422 Easiteach 9 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 Circles 2 16 0 147600 9 100 -26 0 1 0 23 8 0 00000024 23 4 0 01A80000 23 35 0 US_English 23 5 0 00000399 23 35 7 UK_English 59 4 None nnnny None 0 None None -1 0 n 3 5 8886784 7375872 0 0 0 0 0 0 0 None 0 13 0 -1065 1494 0 F:\Year_12\Circles\circles_-_lesson_2.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 2 0 0 -1 -1 -1 0 0  0 0 0 0 11 0 1230 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 102 1170 -52 -448 0 yyyayg 108 -136 Easiteach 101 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 The equation of a circle with centre (a, b) and with radius r is given by:: (x-a) + (y-b) = r 16 0 420000 44 78 -20 0 1 0 16 45 6000 1 56 -14 0 1 0 16 47 276000 31 56 -14 0 1 0 16 79 0 0 56 -14 0 1 0 16 80 365838 21 100 -26 0 1 0 23 35 0 US_English 23 5 0 00000508 23 8 38 0000001C 23 4 39 00008000 23 4 40 FFFFFFFF 23 4 42 00800000 23 4 43 FFFFFFFF 23 8 44 FFFFFFFF 23 4 82 FF702800 23 8 82 00000024 23 4 85 00008000 23 4 86 FF702800 23 4 94 00800000 23 4 95 FF702800 15 509 558 -289 -371 0 yyyayg 515 -351 Easiteach 1 2 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 12400 1 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 00000292 15 847 896 -294 -376 0 yyyayg 853 -356 Easiteach 1 3 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 12400 1 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 000001A7 15 1027 1076 -300 -382 0 yyyayg 1033 -362 Easiteach 1 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 12400 1 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 0000027B 22 469 954 -577 -1047 0 yyyyyg Outline 14 n 0 n 0 0 0 0 0 n 43 5 00000005 22 701 727 -795 -824 0 yyyyyg Outline 15 n 0 n 0 0 0 0 0 n 43 5 00000005 18 708 892 -801 -972 0 yyyyyg Outline 710 -803 890 -970 18 n 0 n 0 24 5 00000005 15 638 764 -721 -803 0 yyyyyf 644 -783 Easiteach 5 22 n 0 nny 0 16777248 0 0 0 0 0 0 0 (a,b) 16 0 43200 5 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000325 15 795 838 -816 -898 0 yyyayf 801 -878 Easiteach 1 21 n 0 nny 0 16777248 0 0 0 0 0 0 0 r 16 0 10000 1 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 000002A8 13 0 -1683 1494 0 Storyboard nnyN 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00020800 0 0 0 0 0 UK_English 0 0 450 0 -1 0 0 0  0 0 0 0 10 0 1230 0 0 -750 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 19 45 495 -80 -417 0 nyyayg Outline 102 n 0 n 0 0 0 0 19 45 495 -80 -417 0 nyyayg Outline 218 n 0 n 1 0 0 0 19 515 965 -80 -417 0 nyyayg Outline 103 n 0 n 0 0 0 0 19 515 965 -80 -417 0 nyyayg Outline 219 n 0 n 2 0 0 0 19 985 1435 -80 -417 0 nyyayg Outline 104 n 0 n 0 0 0 0 19 985 1435 -80 -417 0 nyyayg Outline 220 n 0 n 3 0 0 0 19 45 495 -472 -809 0 nyyayg Outline 105 n 0 n 0 0 0 0 19 45 495 -472 -809 0 nyyayg Outline 221 n 0 n 4 0 0 0 19 515 965 -472 -809 0 nyyayg Outline 106 n 0 n 0 0 0 0 19 515 965 -472 -809 0 nyyayg Outline 222 n 0 n 5 0 0 0 19 985 1435 -472 -809 0 nyyayg Outline 107 n 0 n 0 0 0 0 19 985 1435 -472 -809 0 nyyayg Outline 223 n 0 n 6 0 0 0 19 45 495 -864 -1201 0 nyyayg Outline 108 n 0 n 0 0 0 0 19 45 495 -864 -1201 0 nyyayg Outline 224 n 0 n 7 0 0 0 19 515 965 -864 -1201 0 nyyayg Outline 109 n 0 n 0 0 0 0 19 515 965 -864 -1201 0 nyyayg Outline 225 n 0 n 8 0 0 0 19 985 1435 -864 -1201 0 nyyayg Outline 110 n 0 n 0 0 0 0 19 985 1435 -864 -1201 0 nyyayg Outline 226 n 0 n 9 0 0 0 19 45 495 -1256 -1593 0 nyyayg Outline 227 n 0 n 10 0 0 0 19 515 965 -1256 -1593 0 nyyayg Outline 228 n 0 n 11 0 0 0 13 0 -1065 1494 0 F:\Year_12\Circles\circles_-_lesson_2.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 3 0 0 -1 -1 -1 0 0  0 0 0 0 9 0 1230 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 205 611 -36 -118 0 yyyayg 211 -97 Easiteach 17 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 Circle Equations 16 0 156800 17 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000445 15 124 1306 -170 -252 0 yyyayg 130 -231 Easiteach 50 2 n 0 nny 0 16777248 0 0 0 0 0 0 0 Equations of the form :- x + ax + y + by + c = 0 16 0 465914 50 56 -14 0 1 0 23 35 0 UK_English 23 4 0 3800A800 23 5 0 00000527 15 -84 1084 -195 -397 0 yyyayg -78 -256 Easiteach 50 3 n 0 nny 0 16777248 0 0 0 0 0 0 0 Can be written as:- (x-a) + (y-b) = r 16 0 42519 1 56 -14 0 1 0 16 2 0 0 56 -14 0 1 0 16 3 464238 47 56 -14 0 1 0 23 35 0 UK_English 23 5 0 00000508 23 8 5 FFFFFFFF 23 4 28 FF702800 23 4 32 00008000 23 4 33 FF702800 23 4 41 00800000 23 4 42 FF702800 23 4 50 FFFFFFFF 15 761 800 -299 -360 0 yyyayg 767 -344 Easiteach 1 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 FF702800 23 5 0 00000221 23 35 0 US_English 15 942 981 -302 -363 0 yyyayg 948 -347 Easiteach 1 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 FF702800 23 35 0 US_English 23 5 0 00000221 15 1043 1082 -302 -363 0 yyyayg 1049 -347 Easiteach 1 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 FF702800 23 5 0 00000221 23 35 0 US_English 15 147 826 -443 -525 0 yyyayg 153 -504 Easiteach 28 7 n 0 nny 0 16777248 0 0 0 0 0 0 0 By completing the squares:- 16 0 267200 28 56 -14 0 1 0 23 35 0 UK_English 23 4 0 FF28B800 23 5 0 0000050D 15 316 474 -514 -596 0 yyyayg 322 -575 Easiteach 6 8 n 0 nny 0 16777248 0 0 0 0 0 0 0 x + ax 16 0 56000 6 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000341 23 35 2 UK_English 23 35 3 UK_English 15 346 385 -504 -565 0 yyyayf 352 -549 Easiteach 1 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 00588800 23 35 0 US_English 23 5 0 00000193 15 825 1184 -610 -692 0 yyyayf 831 -671 Easiteach 15 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 (y + b/2) - b/4 16 0 137200 15 56 -14 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 0000025E 23 35 5 UK_English 15 154 598 -678 -760 0 yyyyyf 160 -739 Easiteach 18 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 And substituting:- 16 0 171600 18 56 -14 0 1 0 23 35 0 UK_English 23 4 0 FF28B800 23 5 0 00000509 15 300 1232 -753 -835 0 yyyayf 306 -814 Easiteach 42 12 n 0 nny 0 16777248 0 0 0 0 0 0 0 (x + a/2) - a/4 + (y + b/2) - b/4 + c = 0 16 0 367200 42 56 -14 0 1 0 23 4 0 00588800 23 5 0 00000460 23 35 0 US_English 23 35 16 US_English 23 4 19 0000FF00 23 4 34 00588800 23 35 34 US_English 23 4 35 3800A800 23 35 37 UK_English 15 294 1204 -929 -1011 0 yyyayf 300 -990 Easiteach 42 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 (x + a/2) + (y + b/2) = a/4 + b/4 - c 16 0 358400 42 56 -14 0 1 0 23 4 0 00588800 23 5 0 00000460 23 35 0 US_English 23 35 2 UK_English 23 35 8 US_English 23 4 13 0000FF00 23 4 24 3800A800 23 35 24 UK_English 23 35 29 UK_English 23 4 35 0000FF00 23 4 38 3800A800 18 203 604 -105 -135 0 yyyyye Outline 203 -123 604 -117 14 n 0 n 0 24 5 00000001 24 2 00000079 18 -12 12 12 -12 0 yyyyyd Outline 0 0 0 0 15 n 0 n 0 24 5 00000001 24 2 00000079 15 821 860 -159 -220 0 yyyayd 827 -204 Easiteach 1 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 3800A800 23 8 0 0000000E 23 5 0 00000221 23 35 0 US_English 15 298 668 -607 -689 0 yyyayd 304 -668 Easiteach 16 17 n 0 nny 0 16777248 0 0 0 0 0 0 0 (x + a/2) - a/4 16 0 141600 16 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000460 23 35 2 UK_English 15 503 542 -580 -641 0 yyyayc 509 -625 Easiteach 1 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 00588800 23 5 0 00000193 23 35 0 US_English 15 841 995 -518 -600 0 yyyayb 847 -579 Easiteach 6 19 n 0 nny 0 16777248 0 0 0 0 0 0 0 y + by 16 0 54400 6 56 -14 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 000001F4 23 35 4 UK_English 15 870 909 -493 -554 0 yyyaya 876 -538 Easiteach 1 20 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 0000FF00 23 35 0 US_English 23 5 0 0000016F 15 1008 1047 -155 -216 0 yyyay` 1014 -200 Easiteach 1 21 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 3800A800 23 8 0 0000000E 23 5 0 00000221 23 35 0 US_English 15 502 541 -737 -798 0 yyyay` 508 -782 Easiteach 1 22 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 00588800 23 5 0 00000193 23 35 0 US_English 15 911 950 -735 -796 0 yyyay_ 917 -780 Easiteach 1 23 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 0000FF00 23 5 0 0000016F 23 35 0 US_English 15 494 533 -905 -966 0 yyyay_ 500 -950 Easiteach 1 24 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 00588800 23 5 0 00000193 23 35 0 US_English 15 780 819 -905 -966 0 yyyay_ 786 -950 Easiteach 1 25 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 0000FF00 23 5 0 0000016F 23 35 0 US_English 15 150 582 -834 -916 0 yyyay^ 156 -895 Easiteach 17 26 n 0 nny 0 16777248 0 0 0 0 0 0 0 And rearranging:- 16 0 167600 17 56 -14 0 1 0 23 4 0 FF28B800 23 5 0 00000509 15 930 969 -553 -614 0 yyyay] 936 -598 Easiteach 1 27 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 0000FF00 23 35 0 US_English 23 5 0 0000016F 15 1044 1083 -908 -969 0 yyyay] 1050 -953 Easiteach 1 28 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 0000FF00 23 35 0 US_English 23 5 0 0000016F 15 982 1021 -732 -793 0 yyyay\ 988 -777 Easiteach 1 29 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 0000FF00 23 5 0 0000016F 23 35 0 US_English 15 586 625 -733 -794 0 yyyay\ 592 -778 Easiteach 1 30 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 00588800 23 5 0 00000193 23 35 0 US_English 15 906 945 -915 -976 0 yyyay\ 912 -960 Easiteach 1 31 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 8 0 0000000E 23 4 0 00588800 23 5 0 00000193 23 35 0 US_English 13 0 -1064 1494 0 F:\Year_12\Circles\circles_-_lesson_2.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 11 0 0 -1 -1 -1 0 0  0 0 0 0 8 0 1230 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 216 1424 -21 -103 0 yyyyyf 222 -83 Easiteach 48 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 Have a go at these now / complete for homework:: 16 0 476000 48 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 000004CB 15 411 644 -216 -298 0 yyyyye 417 -278 Easiteach 8 2 n 0 nny 0 16777248 0 0 0 0 0 0 0 Page 102 16 0 86000 8 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000408 15 453 725 -319 -401 0 yyyyyd 459 -381 Easiteach 10 3 n 0 nny 0 16777248 0 0 0 0 0 0 0 Exercise B 16 0 101600 10 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 000003DE 15 477 570 -416 -738 0 yyyyyc 483 -478 Easiteach 8 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Q1 Q4 16 0 30000 2 56 -14 0 1 0 16 3 0 0 56 -14 0 1 0 16 4 30000 2 56 -14 0 1 0 16 7 0 0 56 -14 0 1 0 16 8 0 0 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 000003C6 23 35 8 UK_English 3 nnn 123 0 41 82 1879 1391 0 0 4 8 nnnnnnnnn 1920 1440 0 0 0 0 1 98 FFFFFF00 00000000 1 11 0 C:\Program Files\Research Machines\Easiteach\Skins\graphic.xml1024,76801164119912107110014498681251479868101131133115064986810211031105199999911051139742141106190836131212511104601461231300020042030011300213003130041300513006130071300813009130121301413100200500310213103131041310513106131071310813109132002003403201132051320613207132081320913210133002006603302133031330413305133071330813309133101340050900340915000404844151004348441101131133135001459758500550500850319300550420 13 0 -1065 1494 0 F:\Year_12\Circles\circles_-_lesson_2.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 8 0 0 -1 -1 -1 0 0  0 0 0 0 7 0 1230 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 22 326 705 -271 -643 0 yyyyyg Outline 1 n 0 n 0 0 0 0 0 n 43 5 00000001 18 528 836 -148 -585 0 yyyyyf Outline 834 -583 530 -150 2 n 0 n 0 24 5 00000005 24 2 00000079 24 0 ff702800 18 510 1032 -111 -457 0 yyyyye Outline 512 -455 1030 -113 3 n 0 n 0 24 0 4888ff00 24 2 00000079 24 5 00000005 15 965 1154 -153 -235 0 yyyaye 971 -215 Easiteach 6 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal 16 0 68400 6 56 -14 0 1 0 23 5 0 0000021D 23 4 0 4888FF00 15 337 546 -153 -235 0 yyyayd 343 -215 Easiteach 7 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent 16 0 76400 7 56 -14 0 1 0 23 5 0 000003FD 23 4 0 FF702800 15 250 1157 -3 -85 0 yyyayc 256 -65 Easiteach 35 7 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent and Normal - sample problem 16 0 355600 35 56 -14 0 1 0 23 4 0 3800A800 23 5 0 00000429 23 35 18 US_English 23 4 21 FFFFFFFF 22 509 524 -444 -461 0 yyyyyc Outline 9 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 22 663 678 -345 -357 0 yyyyyb Outline 10 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 650 712 -258 -340 0 yyyaya 656 -320 Easiteach 1 12 n 0 nny 0 16777248 0 0 0 0 0 0 0 Q 16 0 17600 1 56 -14 0 1 0 23 5 0 000000FE 23 35 0 US_English 15 456 504 -419 -501 0 yyyaya 462 -481 Easiteach 1 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 C 16 0 12000 1 56 -14 0 1 0 23 5 0 0000023E 23 35 0 US_English 15 900 1431 -288 -430 0 yyyay` 906 -350 Easiteach 35 14 n 0 nny 0 16777248 0 0 0 0 0 0 0 What is the length of the line PQ ? 16 0 205200 21 56 -14 0 1 0 16 22 121600 13 56 -14 0 0 0 23 5 0 00000203 23 35 0 US_English 18 520 831 -453 -577 0 yyyyy` Outline 829 -575 522 -455 15 n 0 n 0 24 5 00000005 24 2 00000079 15 77 335 -305 -387 0 yyyyy_ 83 -367 Easiteach 10 17 n 0 nny 0 16777248 0 0 0 0 0 0 0 Radius = 2 16 0 96000 10 56 -14 0 1 0 23 5 0 00000556 23 35 0 US_English 15 844 888 -520 -602 0 yyyay_ 850 -582 Easiteach 1 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 P 16 0 10400 1 56 -14 0 1 0 23 5 0 0000013E 23 35 0 US_English 22 823 830 -569 -578 0 yyyyy_ Outline 20 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 879 1063 -518 -600 0 yyyay^ 885 -580 Easiteach 7 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 (10,-3) 16 0 66400 7 56 -14 0 1 0 23 5 0 0000016E 23 35 0 US_English 15 330 462 -417 -499 0 yyyay] 336 -479 Easiteach 5 19 n 0 nny 0 16777248 0 0 0 0 0 0 0 (3,3) 16 0 45600 5 56 -14 0 1 0 23 5 0 000001EA 23 35 0 US_English 18 642 670 -367 -401 0 yyyyy\ Outline 644 -369 668 -399 23 n 0 n 0 24 5 00000005 24 2 00000079 18 666 693 -377 -401 0 yyyyy\ Outline 691 -379 668 -399 24 n 0 n 0 24 5 00000005 24 2 00000079 18 654 682 -380 -413 0 yyyyy\ Outline 668 -399 668 -394 25 n 0 n 0 24 5 00000005 24 2 00000079 15 570 678 -494 -576 0 yyyay\ 576 -556 Easiteach 3 62 n 0 nny 0 32 0 0 0 0 0 0 0 Ö85 16 0 36000 3 56 -14 0 1 0 23 7 0 Symbol 23 4 0 3800A800 23 5 0 000001B0 23 35 0 US_English 23 7 1 FFFFFFFF 15 551 600 -329 -411 0 yyyay[ 557 -391 Easiteach 1 64 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 12400 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000158 15 947 1275 -741 -823 0 yyyay[ 953 -803 Easiteach 12 69 n 0 nny 0 16777248 0 0 0 0 0 0 0 PQ + CQ = CP 16 0 124000 12 56 -14 0 1 0 23 5 0 00000156 23 4 0 00588800 23 35 0 US_English 15 1015 1055 -722 -783 0 yyyayZ 1021 -767 Easiteach 1 76 n 0 nny 0 32 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 00588800 23 8 0 0000000E 23 5 0 000000C7 23 35 0 US_English 15 1134 1174 -722 -783 0 yyyayZ 1140 -767 Easiteach 1 77 n 0 nny 0 32 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 00588800 23 8 0 0000000E 23 5 0 000000C7 23 35 0 US_English 15 1257 1297 -721 -782 0 yyyayY 1263 -766 Easiteach 1 75 n 0 nny 0 32 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 00588800 23 8 0 0000000E 23 5 0 000000C7 23 35 0 US_English 15 944 1235 -823 -905 0 yyyayY 950 -885 Easiteach 11 79 n 0 nny 0 16777248 0 0 0 0 0 0 0 PQ + 2 = 85 16 0 109200 11 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000127 15 1015 1055 -809 -870 0 yyyayX 1021 -854 Easiteach 1 81 n 0 nny 0 32 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 00588800 23 8 0 0000000E 23 5 0 000000C7 23 35 0 US_English 15 1096 1136 -807 -868 0 yyyayW 1102 -852 Easiteach 1 80 n 0 nny 0 32 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 00588800 23 8 0 0000000E 23 5 0 000000C7 23 35 0 US_English 15 947 1353 -894 -976 0 yyyayW 953 -956 Easiteach 16 83 n 0 nny 0 16777248 0 0 0 0 0 0 0 PQ = 85 - 4 = 81 16 0 155200 16 56 -14 0 1 0 23 5 0 000001A8 23 4 0 00588800 23 35 0 US_English 15 1017 1057 -884 -945 0 yyyayV 1023 -929 Easiteach 1 86 n 0 nny 0 32 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 4 0 00588800 23 8 0 0000000E 23 5 0 000000C7 23 35 0 US_English 15 37 1382 -654 -1010 0 yyyayU 43 -705 Easiteach 175 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 1. Tangent and normal make a right angle, so PQCis a rt angled triangle 2. Work out CP by pythagoras' theorem 3. CQ is the radius, so CQ=2 4. Find PQ by Pythagoras' theorem 16 0 530800 71 45 -11 0 1 0 16 72 0 0 45 -11 0 1 0 16 73 297600 37 45 -11 0 1 0 16 111 0 0 45 -11 0 1 0 16 112 214000 28 45 -11 0 1 0 16 141 0 0 45 -11 0 1 0 16 142 263200 33 45 -11 0 1 0 23 35 0 US_English 23 8 0 00000010 23 5 0 00000545 15 948 1123 -959 -1041 0 yyyayU 954 -1021 Easiteach 6 96 n 0 nny 0 16777248 0 0 0 0 0 0 0 PQ = 9 16 0 62800 6 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000104 19 940 1367 -742 -1033 0 yyyyyT Outline 97 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00ffff00 59 97 None nnnnn None 0 None None -1 0 n 0 0 0 0 97 0 0 0 0 0 0 None 0 13 0 -1065 1494 0 F:\Year_12\Circles\circles_-_lesson_2.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 6 0 0 -1 -1 -1 0 0  0 0 0 0 6 0 1230 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 22 326 705 -271 -643 0 yyyyyg Outline 1 n 0 n 0 0 0 0 0 n 43 5 00000001 18 528 836 -148 -585 0 yyyyyf Outline 834 -583 530 -150 2 n 0 n 0 24 5 00000005 24 2 00000079 24 0 ff702800 18 510 1032 -111 -457 0 yyyyye Outline 512 -455 1030 -113 3 n 0 n 0 24 5 00000005 24 2 00000079 24 0 4888ff00 15 965 1154 -153 -235 0 yyyaye 971 -215 Easiteach 6 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal 16 0 68400 6 56 -14 0 1 0 23 4 0 4888FF00 23 5 0 0000021D 15 337 546 -153 -235 0 yyyayd 343 -215 Easiteach 7 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent 16 0 76400 7 56 -14 0 1 0 23 4 0 FF702800 23 5 0 000003FD 15 250 1157 -3 -85 0 yyyayc 256 -65 Easiteach 35 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent and Normal - sample problem 16 0 355600 35 56 -14 0 1 0 23 4 0 3800A800 23 5 0 00000429 23 35 18 US_English 23 4 21 FFFFFFFF 22 509 524 -444 -461 0 yyyyyc Outline 7 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 22 663 678 -345 -357 0 yyyyyb Outline 8 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 650 712 -258 -340 0 yyyaya 656 -320 Easiteach 1 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 Q 16 0 17600 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 000000FE 15 456 504 -419 -501 0 yyyaya 462 -481 Easiteach 1 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 C 16 0 12000 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000023E 15 900 1431 -288 -430 0 yyyay` 906 -350 Easiteach 35 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 What is the length of the line PQ ? 16 0 205200 21 56 -14 0 1 0 16 22 121600 13 56 -14 0 0 0 23 35 0 US_English 23 5 0 00000203 18 520 831 -453 -577 0 yyyyy` Outline 829 -575 522 -455 12 n 0 n 0 24 5 00000005 24 2 00000079 15 77 335 -305 -387 0 yyyyy_ 83 -367 Easiteach 10 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 Radius = 2 16 0 96000 10 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000556 15 24 1369 -661 -729 0 yyyay_ 30 -712 Easiteach 71 14 n 0 nny 0 16777248 0 0 0 0 0 0 0 1. Tangent and normal make a right angle, so PQCis a rt angled triangle 16 0 530800 71 45 -11 0 1 0 23 5 0 00000545 23 8 0 00000010 23 35 0 US_English 15 445 577 -466 -548 0 yyyay^ 451 -528 Easiteach 5 15 n 0 nny 0 16777248 0 0 0 0 0 0 0 (3,3) 16 0 45600 5 56 -14 0 1 0 23 35 0 US_English 23 5 0 000001EA 15 844 888 -520 -602 0 yyyay^ 850 -582 Easiteach 1 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 P 16 0 10400 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000013E 22 823 830 -569 -578 0 yyyyy^ Outline 17 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 879 1063 -518 -600 0 yyyay] 885 -580 Easiteach 7 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 (10,-3) 16 0 66400 7 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000016E 19 12 1447 -658 -757 0 yyyyy] Outline 21 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 13 0 -1065 1494 0 F:\Year_12\Circles\circles_-_lesson_2.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 7 0 0 -1 -1 -1 0 0  0 0 0 0 5 0 1230 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 22 326 705 -271 -643 0 yyyyyg Outline 1 n 0 n 0 0 0 0 0 n 43 5 00000001 18 528 836 -148 -585 0 yyyyyf Outline 834 -583 530 -150 2 n 0 n 0 24 5 00000005 24 2 00000079 24 0 ff702800 18 510 1032 -111 -457 0 yyyyye Outline 512 -455 1030 -113 3 n 0 n 0 24 5 00000005 24 2 00000079 24 0 4888ff00 15 965 1154 -153 -235 0 yyyaye 971 -215 Easiteach 6 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal 16 0 68400 6 56 -14 0 1 0 23 4 0 4888FF00 23 5 0 0000021D 15 337 546 -153 -235 0 yyyayd 343 -215 Easiteach 7 5 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent 16 0 76400 7 56 -14 0 1 0 23 4 0 FF702800 23 5 0 000003FD 15 250 1157 -3 -85 0 yyyayc 256 -65 Easiteach 35 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent and Normal - sample problem 16 0 355600 35 56 -14 0 1 0 23 4 0 3800A800 23 5 0 00000429 23 35 18 US_English 23 4 21 FFFFFFFF 22 509 524 -444 -461 0 yyyyyc Outline 7 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 22 663 678 -345 -357 0 yyyyyb Outline 8 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 650 712 -258 -340 0 yyyaya 656 -320 Easiteach 1 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 Q 16 0 17600 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 000000FE 15 456 504 -419 -501 0 yyyaya 462 -481 Easiteach 1 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 C 16 0 12000 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000023E 15 900 1431 -288 -430 0 yyyay` 906 -350 Easiteach 35 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 What is the length of the line PQ ? 16 0 205200 21 56 -14 0 1 0 16 22 121600 13 56 -14 0 0 0 23 35 0 US_English 23 5 0 00000203 18 520 831 -453 -577 0 yyyyy` Outline 829 -575 522 -455 12 n 0 n 0 24 5 00000005 24 2 00000079 15 77 335 -305 -387 0 yyyyy_ 83 -367 Easiteach 10 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 Radius = 2 16 0 96000 10 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000556 15 24 1369 -661 -825 0 yyyay_ 30 -712 Easiteach 110 14 n 0 nny 0 16777248 0 0 0 0 0 0 0 1. Tangent and normal make a right angle, so PQCis a rt angled triangle 2. Work out CP by pythagoras' theorem 16 0 530800 71 45 -11 0 1 0 16 72 0 0 45 -11 0 1 0 16 73 297600 37 45 -11 0 1 0 23 5 0 00000545 23 8 0 00000010 23 35 0 US_English 15 844 888 -520 -602 0 yyyay^ 850 -582 Easiteach 1 15 n 0 nny 0 16777248 0 0 0 0 0 0 0 P 16 0 10400 1 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000013E 22 823 830 -569 -578 0 yyyyy^ Outline 16 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 879 1063 -518 -600 0 yyyay] 885 -580 Easiteach 7 17 n 0 nny 0 16777248 0 0 0 0 0 0 0 (10,-3) 16 0 66400 7 56 -14 0 1 0 23 35 0 US_English 23 5 0 0000016E 15 330 462 -417 -499 0 yyyay\ 336 -479 Easiteach 5 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 (3,3) 16 0 45600 5 56 -14 0 1 0 23 35 0 US_English 23 5 0 000001EA 18 642 670 -367 -401 0 yyyyy[ Outline 644 -369 668 -399 19 n 0 n 0 24 5 00000005 24 2 00000079 18 666 693 -377 -401 0 yyyyy[ Outline 691 -379 668 -399 20 n 0 n 0 24 5 00000005 24 2 00000079 18 654 682 -380 -413 0 yyyyy[ Outline 668 -399 668 -394 21 n 0 n 0 24 5 00000005 24 2 00000079 18 517 819 -558 -596 0 yyyyy[ Outline 815 -578 521 -576 22 n 0 n 0 24 6 00000011 24 5 00000005 24 2 00000079 18 506 542 -457 -580 0 yyyyyZ Outline 524 -461 524 -576 23 n 0 n 0 24 6 00000011 24 5 00000005 24 2 00000079 19 267 511 -496 -553 0 yyyyyZ Outline 24 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 15 275 514 -483 -565 0 yyyayY 281 -545 Easiteach 10 25 n 0 noy 0 16777248 0 0 0 0 0 0 0 3 - -3 = 6 16 0 88400 10 56 -14 0 1 0 23 5 0 000001D5 23 35 0 US_English 23 4 0 3800A800 19 529 783 -599 -655 0 yyyyyY Outline 26 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 15 536 785 -585 -667 0 yyyayX 542 -647 Easiteach 10 27 n 0 noy 0 16777248 0 0 0 0 0 0 0 10 - 3 = 7 16 0 92400 10 56 -14 0 1 0 23 5 0 00000244 23 35 0 US_English 23 4 0 3800A800 15 341 765 -843 -925 0 yyyyyX 347 -905 Easiteach 19 28 n 0 nny 0 16777248 0 0 0 0 0 0 0 CP = 7 + 6 = 85 16 0 162400 19 56 -14 0 1 0 23 5 0 0000044E 23 35 0 US_English 23 4 0 3800A800 15 483 523 -828 -889 0 yyyayW 489 -873 Easiteach 1 29 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 35 0 US_English 23 5 0 000001C4 23 4 0 3800A800 23 8 0 0000000E 15 591 631 -825 -886 0 yyyayV 597 -870 Easiteach 1 30 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 5 0 000001C4 23 35 0 US_English 23 4 0 3800A800 23 8 0 0000000E 15 395 435 -825 -886 0 yyyayU 401 -870 Easiteach 1 31 n 0 nny 0 16777248 0 0 0 0 0 0 0 2 16 0 8800 1 39 -10 0 1 0 23 35 0 US_English 23 5 0 000001C4 23 4 0 3800A800 23 8 0 0000000E 15 341 561 -926 -1008 0 yyyayU 347 -988 Easiteach 8 32 n 0 nny 0 16777248 0 0 0 0 0 0 0 CP = Ö85 16 0 80800 8 56 -14 0 1 0 23 5 0 000001B0 23 35 0 US_English 23 4 0 3800A800 23 8 5 00000014 23 7 5 Symbol 23 7 6 Comic_Sans_MS 19 20 802 -747 -832 0 yyyyyT Outline 33 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00ffff00 19 341 802 -832 -1012 0 yyyyyT Outline 34 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00ffff00 59 27 None nnnnn None 0 None None -1 0 n 0 0 0 0 27 0 0 0 0 0 0 None 0 59 25 None nnnnn None 0 None None -1 0 n 0 0 0 0 25 0 0 0 0 0 0 None 0 59 33 None nnnnn None 0 None None -1 0 n 0 0 0 0 33 0 0 0 0 0 0 None 0 59 34 None nnnnn None 0 None None -1 0 n 0 0 0 0 34 0 0 0 0 0 0 None 0 13 0 -1065 1494 0 F:\Year_12\Circles\circles_-_lesson_2.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 5 0 0 -1 -1 -1 0 0  0 0 0 0 4 0 1230 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 22 326 705 -271 -643 0 yyyyyg Outline 1 n 0 n 0 0 0 0 0 n 43 5 00000001 18 528 836 -148 -585 0 yyyyyf Outline 834 -583 530 -150 2 n 0 n 0 24 5 00000005 24 2 00000079 24 0 ff702800 18 510 1032 -111 -457 0 yyyyye Outline 512 -455 1030 -113 3 n 0 n 0 24 5 00000005 24 2 00000079 24 0 4888ff00 18 703 733 -327 -366 0 yyyyye Outline 705 -329 731 -364 4 n 0 n 0 24 5 00000005 24 2 00000079 18 693 733 -362 -388 0 yyyyye Outline 731 -364 695 -386 5 n 0 n 0 24 5 00000005 24 2 00000079 18 691 719 -376 -388 0 yyyyye Outline 705 -378 705 -386 6 n 0 n 0 24 5 00000005 24 2 00000079 18 691 706 -376 -388 0 yyyyye Outline 693 -386 704 -378 7 n 0 n 0 24 5 00000005 24 2 00000079 18 693 707 -372 -400 0 yyyyyd Outline 695 -386 705 -386 8 n 0 n 0 24 5 00000005 24 2 00000079 15 965 1152 -154 -236 0 yyyayc 971 -215 Easiteach 6 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal 16 0 68400 6 56 -14 0 1 0 23 4 0 4888FF00 23 5 0 0000021D 15 337 545 -154 -236 0 yyyayb 343 -215 Easiteach 7 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent 16 0 76400 7 56 -14 0 1 0 23 4 0 FF702800 23 5 0 000003FD 15 422 910 -11 -93 0 yyyaya 428 -72 Easiteach 18 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent and Normal 16 0 189600 18 56 -14 0 1 0 23 4 0 3800A800 23 5 0 00000429 15 58 1281 -720 -802 0 yyyyya 64 -782 Easiteach 52 12 n 0 nny 0 16777248 0 0 0 0 0 0 0 Tangent - straight line that just touches the circle 16 0 482000 52 56 -14 0 1 0 23 4 0 FF702800 23 5 0 000004F1 23 35 0 US_English 15 59 1247 -833 -975 0 yyyaya 65 -895 Easiteach 96 13 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal - perpendicular to the tangent and passes through the centre of the circle 16 0 468000 48 56 -14 0 1 0 16 49 396800 47 56 -14 0 1 0 23 4 0 3800A800 23 35 0 US_English 23 5 0 0000055B 13 0 -1065 1494 0 F:\Year_12\Circles\circles_-_lesson_2.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 10 0 0 -1 -1 -1 0 0  0 0 0 0 3 0 1230 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 22 326 705 -271 -643 0 yyyyyg Outline 1 n 0 n 0 0 0 0 0 n 43 5 00000001 18 528 836 -148 -585 0 yyyyyf Outline 834 -583 530 -150 2 n 0 n 0 24 5 00000005 24 2 00000079 24 0 ff702800 18 510 1032 -111 -457 0 yyyyye Outline 512 -455 1030 -113 3 n 0 n 0 24 0 4888ff00 24 2 00000079 24 5 00000005 15 422 1221 -10 -92 0 yyyayd 428 -72 Easiteach 33 11 n 0 nny 0 16777248 0 0 0 0 0 0 0 Finding the equation of a tangent 16 0 312400 33 56 -14 0 1 0 23 4 0 00588800 23 35 0 US_English 23 5 0 00000429 22 500 520 -451 -461 0 yyyyyd Outline 18 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 356 524 -369 -511 0 yyyayc 362 -431 Easiteach 16 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 C (-2,1) 16 0 60000 9 56 -14 0 1 0 16 10 54000 6 56 -14 0 1 0 23 35 0 US_English 23 5 0 000001BD 22 660 678 -345 -360 0 yyyyyb Outline 21 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 696 893 -311 -393 0 yyyaya 702 -373 Easiteach 8 27 n 0 nny 0 16777248 0 0 0 0 0 0 0 S (4, 3) 16 0 71600 8 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000233 15 976 1263 -137 -219 0 yyyay` 982 -199 Easiteach 12 62 n 0 nny 0 32 0 0 0 0 0 0 0 y = x + 5/3 16 0 107600 12 56 -14 0 1 0 23 5 0 00000398 23 35 0 US_English 48 657 675 -726 -818 0 nyyny` 58 n 30 |Comic_Sans_MS| |3| |1| || 0 1 0 15 141 1008 -880 -962 0 yyyay` 147 -942 Easiteach 39 42 n 0 nny 0 16777248 0 0 0 0 0 0 0 So, the equation is: y - 3 = -3(x-4) 16 0 339600 39 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 00000509 15 623 1033 -967 -1049 0 yyyay` 629 -1029 Easiteach 18 56 n 0 nny 0 16777248 0 0 0 0 0 0 0 y - 3 = -3x + 12 16 0 156800 18 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 00000398 48 1055 1072 -135 -227 0 nyyny_ 43 n 30 |Comic_Sans_MS| |3| |1| || 0 1 0 15 331 530 -87 -169 0 yyyay^ 337 -149 Easiteach 7 33 n 0 nny 0 16777248 0 0 0 0 0 0 0 tangent 16 0 72400 7 56 -14 0 1 0 23 4 0 FF702800 23 5 0 0000021D 23 35 0 US_English 15 108 1295 -647 -729 0 yyyay^ 114 -709 Easiteach 51 49 n 0 nny 0 16777248 0 0 0 0 0 0 0 Gradient of tangent x gradient of normal = -1 16 0 467600 51 56 -14 0 1 0 23 5 0 000004E1 23 35 0 US_English 15 113 845 -729 -811 0 yyyay^ 119 -791 Easiteach 32 71 n 0 nny 0 16777248 0 0 0 0 0 0 0 Gradient of tangent x = -1 16 0 285600 32 56 -14 0 1 0 23 5 0 000004E1 23 35 0 US_English 15 119 716 -809 -891 0 yyyay^ 125 -871 Easiteach 24 75 n 0 nny 0 16777248 0 0 0 0 0 0 0 Gradient of tangent = -3 16 0 231600 24 56 -14 0 1 0 23 5 0 000004E1 23 35 0 US_English 15 1101 1399 -916 -998 0 yyyay^ 1107 -978 Easiteach 12 79 n 0 nny 0 16777248 0 0 0 0 0 0 0 y = -3x + 15 16 0 112000 12 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 00000160 15 837 1070 -507 -649 0 yyyay] 843 -569 Easiteach 14 86 n 0 nny 0 16777248 0 0 0 0 0 0 0 gradient = m1 16 0 86000 9 56 -14 0 1 0 16 10 44400 4 56 -14 0 1 0 23 4 0 FF702800 23 35 0 US_English 23 5 0 00000225 15 992 1484 -293 -495 0 yyyay\ 998 -355 Easiteach 45 81 n 0 nny 0 16777248 0 0 0 0 0 0 0 Recall, for perpendicular lines: m1 x m2 = -1 16 0 104800 11 56 -14 0 1 0 16 12 189600 20 56 -14 0 0 0 16 33 123200 12 56 -14 0 0 0 23 4 0 FF28B800 23 5 0 000001DD 23 35 0 US_English 23 4 32 FF702800 23 4 36 FF28B800 23 4 37 FF702800 23 4 38 0000FF00 23 4 40 FF702800 23 4 41 FFFFFFFF 15 681 914 -135 -277 0 yyyay[ 687 -197 Easiteach 14 87 n 0 nny 0 16777248 0 0 0 0 0 0 0 gradient = m2 16 0 86000 9 56 -14 0 1 0 16 10 44400 4 56 -14 0 1 0 23 4 0 0000FF00 23 35 0 US_English 23 5 0 0000029A 19 980 1483 -295 -493 0 yyyyy[ Outline 89 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 19 78 1247 -649 -878 0 yyyyy[ Outline 90 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 19 95 1370 -894 -1056 0 yyyyy[ Outline 91 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 59 89 None nnnnn None 0 None None -1 0 n 0 0 0 0 89 0 0 0 0 0 0 None 0 59 90 None nnnnn None 0 None None -1 0 n 0 0 0 0 90 0 0 0 0 0 0 None 0 59 91 None nnnnn None 0 None None -1 0 n 0 0 0 0 91 0 0 0 0 0 0 None 0 60 3 0 0 61 43 61 62 13 0 -1065 1494 0 F:\Year_12\Circles\circles_-_lesson_2.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 9 0 0 -1 -1 -1 0 0  0 0 0 0 2 0 1230 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 ETRotate 0 0 FF000000 00FF0000 nyn 00 0 yn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 22 326 705 -271 -643 0 yyyyyg Outline 1 n 0 n 0 0 0 0 0 n 43 5 00000001 18 528 836 -148 -585 0 yyyyyf Outline 834 -583 530 -150 2 n 0 n 0 24 5 00000005 24 2 00000079 24 0 ff702800 18 510 1032 -111 -457 0 yyyyye Outline 512 -455 1030 -113 3 n 0 n 0 24 0 4888ff00 24 2 00000079 24 5 00000005 15 422 1197 -10 -92 0 yyyayd 428 -72 Easiteach 32 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Finding the equation of a normal 16 0 302800 32 56 -14 0 1 0 23 5 0 00000429 23 35 0 US_English 23 4 0 00588800 22 500 520 -451 -461 0 yyyyyd Outline 5 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 356 524 -369 -511 0 yyyayc 362 -431 Easiteach 16 6 n 0 nny 0 16777248 0 0 0 0 0 0 0 C (-2,1) 16 0 60000 9 56 -14 0 1 0 16 10 54000 6 56 -14 0 1 0 23 5 0 000001BD 23 35 0 US_English 22 660 678 -345 -360 0 yyyyyb Outline 7 n 0 n 0 0 0 0 0 n 43 5 00000005 43 2 00000079 43 1 00000000 15 696 893 -311 -393 0 yyyaya 702 -373 Easiteach 8 8 n 0 nny 0 16777248 0 0 0 0 0 0 0 S (4, 3) 16 0 71600 8 56 -14 0 1 0 23 5 0 00000233 23 35 0 US_English 15 493 1457 -518 -660 0 yyyyya 499 -580 Easiteach 115 9 n 0 nny 0 16777248 0 0 0 0 0 0 0 = 3 - 1 = 2 = 1 4 - -2 6 3 16 0 377200 56 56 -14 0 1 0 16 57 378400 58 56 -14 0 1 0 23 5 0 000004E1 23 35 0 US_English 15 986 1175 -135 -217 0 yyyay` 992 -197 Easiteach 6 10 n 0 nny 0 16777248 0 0 0 0 0 0 0 Normal 16 0 68400 6 56 -14 0 1 0 23 35 0 US_English 23 4 0 4888FF00 23 5 0 0000021D 18 1239 1295 -576 -604 0 yyyyy` Outline 1241 -590 1293 -590 11 n 0 n 0 24 5 00000005 24 2 00000079 18 1392 1452 -576 -604 0 yyyyy` Outline 1394 -590 1450 -590 12 n 0 n 0 24 5 00000005 24 2 00000079 18 997 1136 -574 -604 0 yyyyy_ Outline 999 -590 1134 -588 13 n 0 n 0 24 5 00000005 24 2 00000079 15 941 1447 -438 -520 0 yyyay^ 947 -500 Easiteach 20 14 n 0 nny 0 32 0 0 0 0 0 0 0 Gradient of normal = 16 0 195200 20 56 -14 0 1 0 23 35 0 US_English 23 5 0 000004E1 15 20 1063 -638 -780 0 yyyay^ 26 -700 Easiteach 92 15 n 0 nny 0 16777248 0 0 0 0 0 0 0 Recall: line through (x1,y1) with gradient m has equation : y - y1 = m(x - x1) 16 0 410000 44 56 -14 0 1 0 16 45 382400 47 56 -14 0 1 0 23 5 0 00000504 23 35 0 US_English 23 4 0 3800A800 15 33 848 -784 -866 0 yyyay^ 39 -846 Easiteach 37 16 n 0 nny 0 16777248 0 0 0 0 0 0 0 So, the equation is: y - 3 = (x-4) 16 0 318800 37 56 -14 0 1 0 23 5 0 00000509 23 35 0 US_English 48 676 694 -784 -878 0 nyyny^ 17 n 30 |Comic_Sans_MS| |3| |1| || 0 1 0 15 515 881 -871 -953 0 yyyay^ 521 -933 Easiteach 16 18 n 0 nny 0 16777248 0 0 0 0 0 0 0 y - 3 = x - 4/3 16 0 139200 16 56 -14 0 1 0 23 5 0 00000398 23 35 0 US_English 48 676 694 -875 -967 0 nyyny^ 19 n 30 |Comic_Sans_MS| |3| |1| || 0 1 0 15 516 803 -964 -1046 0 yyyay^ 522 -1026 Easiteach 12 20 n 0 nny 0 32 0 0 0 0 0 0 0 y = x + 5/3 16 0 107600 12 56 -14 0 1 0 23 35 0 US_English 23 5 0 00000398 48 595 613 -962 -1054 0 nyyny] 21 n 30 |Comic_Sans_MS| |3| |1| || 0 1 0 19 942 1466 -443 -643 0 yyyyy\ Outline 23 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00ffff00 19 17 1107 -653 -784 0 yyyyy\ Outline 24 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00ffff00 19 29 943 -796 -1063 0 yyyyy\ Outline 25 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 24 1 00ffff00 19 0 0 2000 2000 0 yyyyy[ Outline 27 n 0 n 0 0 0 0 24 5 00000005 24 2 00000079 59 23 None nnnnn None 0 None None -1 0 n 0 0 0 0 23 0 0 0 0 0 0 None 0 59 24 None nnnnn None 0 None None -1 0 n 0 0 0 0 24 0 0 0 0 0 0 None 0 59 25 None nnnnn None 0 None None -1 0 n 0 0 0 0 25 0 0 0 0 0 0 None 0 13 0 -1065 1494 0 F:\Year_12\Circles\circles_-_lesson_2.et nnyn 45 0 1 0 0 1 0 0 n 0 0 FFFFFF00 n 0 65536 0 0 00000000 0 0 0 0 0 UK_English 4 0 0 -1 -1 -1 0 0  0 0 0 0 1 0 0 0 0 0 0 0 20 Bullet_list Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 -15 n 15 25 25 yn 20 Chart_text Arial 100 10 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Easiteach Comic_Sans_MS 100 20 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Heading Arial 100 16 00000000 FFFFFF00 0 120 70859 lynny 120 0 n 20 0 0 yn 20 Hypertext Arial 100 12 FF770000 0000FF00 0 120 1098 lnnyy 120 0 n 0 0 0 nn 20 Junior Arial 100 28 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 20 25 25 yn 20 Paragraph Times_New_Roman 100 12 00000000 FFFFFF00 0 120 70859 lnnyy 120 0 n 15 25 25 yn 20 Question_text Comic_Sans_MS 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 15 25 25 yn 20 Spreadsheet_buttons Arial 100 12 00000000 FFFFFF00 0 120 70859 lnnny 120 0 n 20 25 25 yn 20 Text_selection Arial 100 12 FFFFFF00 A0A0A000 0 120 1098 lynyy 120 0 n 0 0 0 nn 21 Algebra_card 0 2 00000000 F0F0F000 yyn 00 5 nn 21 Answer_box 0 2 00000000 EFC2C200 ynn 00 5 yn 21 Chart 0 2 00000000 EFEFEF00 yyn 00 5 yn 21 Chart_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Entry_field 0 2 00000000 FFFFFF00 nyn 00 5 nn 21 Filled 0 2 00000000 FFFFFF00 yyn 00 5 yn 21 Group_selection 1 2 C0C0C000 DDDDDD00 nyy 00 0 nn 21 Markup 0 10 00000000 FFFFFF00 nyn 00 5 yn 21 Outline 0 2 00000000 FFFFFF00 nyy 00 5 yn 21 Printer_limits 0 0 A0A0A000 A0A0A000 yny 00 0 nn 21 Question_box 0 2 00000000 F5C4F700 ynn 00 5 yn 21 Rotation_tag 0 0 00FF0000 00FF0000 yyn 00 0 nn 21 Selection 1 0 0000DD00 DDDDDD00 nyy 00 0 nn 21 Selection_tag 0 0 0000DD00 0000DD00 yny 00 0 nn 21 Shadow 0 2 BBBBBB00 80808000 yny 00 5 yn 21 Snipping_cross 0 0 00000000 DDDDDD00 nyy 00 5 nn 21 Table_frame 0 5 00000000 FFFFFF00 yyn 00 5 yn 21 Table_grid 0 2 00000000 EFEFEF00 nyn 00 5 yn 21 Text_flows 0 5 88888800 88888800 nyn 00 5 nn 21 Tree_lines 0 10 FF000000 0000FF00 nyn 00 5 yn 21 Word_builder 0 5 C0C0C000 E8E8E800 yyn 00 5 nn 21 Writing_Frame 0 5 FFFF0000 0096FF00 nyn 00 5 nn 85 Round l Wingdings -2147483648 100 85 Roman I TimesNewRoman 0 100 85 Number 1. TimesNewRoman 0 100 85 Letter (a) CourierNew 0 80 85 Diamond t Wingdings 0 100 85 Star ¬ Wingdings 0 100 85 Flower | Wingdings 65280 100 85 Hand F Wingdings -2147483648 100 85 Note ! Wingdings -2147483648 100 15 216 706 -21 -103 0 yyyyyf 222 -83 Easiteach 20 1 n 0 nny 0 16777248 0 0 0 0 0 0 0 Have a go at these:: 16 0 188800 20 56 -14 0 1 0 23 5 0 000004CB 23 35 0 US_English 23 4 0 00588800 15 411 644 -216 -298 0 yyyyye 417 -278 Easiteach 8 2 n 0 nny 0 16777248 0 0 0 0 0 0 0 Page 100 16 0 86000 8 56 -14 0 1 0 23 5 0 00000408 23 35 0 US_English 23 4 0 00588800 15 453 730 -319 -401 0 yyyyyd 459 -381 Easiteach 10 3 n 0 nny 0 16777248 0 0 0 0 0 0 0 Exercise A 16 0 103600 10 56 -14 0 1 0 23 5 0 000003DE 23 35 0 US_English 23 4 0 00588800 15 477 570 -417 -859 0 yyyyyc 483 -478 Easiteach 14 4 n 0 nny 0 16777248 0 0 0 0 0 0 0 Q1 Q2 Q7 Q8 16 0 30000 2 56 -14 0 1 0 16 3 0 0 56 -14 0 1 0 16 4 30000 2 56 -14 0 1 0 16 7 0 0 56 -14 0 1 0 16 8 30000 2 56 -14 0 1 0 16 11 0 0 56 -14 0 1 0 16 12 30000 2 56 -14 0 1 0 23 5 0 000003C6 23 35 0 US_English 23 4 0 00588800 23 35 10 UK_English