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  1. 1. 312022 ……………..4/……………………..
  2. 2. 4011.–1.1 (3, 4) (0 , 0)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….1.2 (0 , 0) (-1, -3)……………………………………………………………………………………………………………………………………………………………………………………………………………….
  3. 3. ……………………………………………………………………………………………………….1.3 (2, 5) (9 , 5)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….1.4 (-5, -6) (-5 , -3)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….1.5 (-1, -2) (3 , -4)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….1.6 (2, 13) (8 , 5)
  4. 4. ……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….1.7 (-5, 3) (0 , 8)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….2 ABCD 8A (-4 , 0) B (-1 , 4) 482.1 C2.2AB2.3 D………………………………………………………………………………………………………YXCDB (-1,4)A (-4,0)
  5. 5. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….………………………………………………………………………………………………………
  6. 6. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….3. (1 ,1) , (-1,-1) (-4,1)
  7. 7. ……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….4. (-3 , -4) X……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….
  8. 8. ………………………………………………………………………………………………………5. ABC A(3 , 4) B (7 , 8) C (-1 , -2)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….………………………………………………………………………………………………………
  9. 9. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….………………………………………………………………………………………………………6. Y (2 , 5) (3 , -7)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….
  10. 10. ……………………………………………………………………………………………………….7. (6 , 8) , (4 , 6) (-2 , -2)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….8. -3 , 2) (7 , 4)
  11. 11. ……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….9. (10 , 0) , (-12 , 0) (-8 , 8)……………………………………………………………………………………………………………………………………………………………………………………………………………….
  12. 12. ……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….10. (0 , 0) , (8 , 18) (12 , 27)………………………………………………………………………………………………………
  13. 13. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….11. P1 , P2 P3……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….
  14. 14. ……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….………………………………………………………………………………………………………12. (3 , 4) (6 , 8)(0 , 0)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….………………………………………………………………………………………………………
  15. 15. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….13. ( 4 , -3) X……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….
  16. 16. ……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….………………………………………………………………………………………………………21.1.1 ( , 2) (3 , -1)
  17. 17. ……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.2 (-1 , -3) (5 , 3)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.3 (3 , - ) (-3 , -9)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….
  18. 18. ……………………………………………………………………………………………………….1.4 (-3 , -2) (-1 , -1)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.5 ( 2 , 7) ( -2 , 7)……………………………………………………………………………………………………………………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2. M PQP
  19. 19. 2.1 M (1 , 2) Q (3 , 4)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.2 M (5 , 6) Q (15 ,- 4)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  20. 20. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….3.A (2 , 1) , B (7 , 1) , C (9 ,3) D (4 , 3)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  21. 21. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….4. A (8 , 2)P (2 , 1) Q (6 ,5)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  22. 22. ……………………………………………………………………………………………………….5. (1 , 3)(7 , 11)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….6. y (4 ,y) (-5 , 2) (13 , -6)……………………………………………………………………………………………………….
  23. 23. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….7. R (-7 , -5) , S (3 , 7) , T (6 , 1)S RT……………………………………………………………………………………………………….
  24. 24. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….8. A (2 , 7) , B (-5 , 6)AA B
  25. 25. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  26. 26. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….31.1.1 (0 , 0) (2 , 6)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.2 (0 , 0) (-2 , 6)……………………………………………………………………………………………………….
  27. 27. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.3 (5 , 3) (12 , 7)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.4 (0 , 0) (-3 , -4)……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  28. 28. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.5 (3 , -8) (-5 , 7)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.6 (t + 1 , s) (2t , s - 3)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  29. 29. 2. X P Qm2.1 P (5 , 2) Q (x , 6) ; m = 4……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.2 P (4 , x) Q (-3 , 1) ; m =……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  30. 30. 2.3 P (6 , -3) Q (9 , x) ; m = -……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.4 P (x , 12) Q (5 , 12) ; m = 0……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.5 P (1 , x) Q (4 , 3) ; m =
  31. 31. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….3. (a , ) (b , ) a 0 , b  0 a  b……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  32. 32. ……………………………………………………………………………………………………….4.A (2 ,10) , B (5 , 7) C (2 , 4)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  33. 33. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….5. P (-6 , 4) , Q (1 , 4) , R (-1 , -1) S ( -8 , -1)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  34. 34. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….6. A (-6 , -2) , B (2 , -2) , C DAB2 DC A 24BC……………………………………………………………………………………………………….
  35. 35. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….4
  36. 36. 1. (-2 , -4) (3 , 3)(1 , -2) (6 ,5)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2. (k , 7) (-3 , -2)(3 , 2) (1 , -4)k……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  37. 37. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….3. (-2 , -1) , (1, 0) , (4 , 3) (1 , 2)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  38. 38. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….4. (1 , 2) , (6 , 7) (-3 , 4)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  39. 39. ……………………………………………………………………………………………………….5. b (b , 6) , (-1 , 4) (-4 , 2)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….6. P (-3 , 2) , Q (1 , 6) , R (5 , 4) S (3 , 0)PQRS
  40. 40. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….5
  41. 41. 1. l l……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2. (3 , 4)(-3 , -5)……………………………………………………………………………………………………….
  42. 42. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….3. (4 , 3) (-3 , -5)(-2 , -3) (-8 , 2)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  43. 43. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….4. P (a ,b) Q (-b , a)a2 + b2  0 OPOQ O……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  44. 44. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….5. (1 , 6) , (8 , 8) (-7 , 2)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  45. 45. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….6. (k , 7) (-3 , -2)(3 , 2) (1 , -4)k
  46. 46. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….7. (2 , 5) , (2 , 9) , (6 , 9) (6 , 5)……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  47. 47. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….8. A (6 , 8) , B (5 , 4) , C (3 , 6) D (4 , 10)8.1 ABCD8.2 ABCD……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  48. 48. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….61. t = {(x , y)  x – 2y = 4 }t1.1 (1 , 0)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.2 (-8 , 6)……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  49. 49. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.3 (0 , -2)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.4 (2 , -1)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.5 (6 , )……………………………………………………………………………………………………….
  50. 50. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.2.1 X X……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  51. 51. ……………………………………………………………………………………………………….2.2 Y Y……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.3 X (0 , 3) 4……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  52. 52. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.4 Y (-2 , 0) 5……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….3. X Y
  53. 53. X Y1) 2x – 3y = 72) 5x + 4y – 2= 03) x – 4y + 5= 04) 3x + 2y + 7= 05) 5x – y – 11= 06) x - y =247) x – y = 08) 2y + 3 = 09) x = 410) 3 (y -1) =-2 (x – 2)4. 3y = 2x – 6 y = x +1……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  54. 54. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….5. 2x + y = 8 y = x - 5……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  55. 55. 6. (7 , 5) x+ 2y + 12 = 0……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  56. 56. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….7. (3 , 2)3x - 2y + 12 = 0……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  57. 57. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….71.1.1 6x - 8y + 4 = 0 , (2 , -3)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  58. 58. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.2 4x + 3y - 8 = 0 , (0 , 6)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  59. 59. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.3 2x + 3y = 13 , (0 , 0)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.4 y - 4 = (x – 3) , (8 , 11)……………………………………………………………………………………………………….
  60. 60. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.3 y = 1 , (-1 , 1)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  61. 61. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.2.1 3x + 4y - 7 = 0 , 3x + 4y + 3 = 0……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  62. 62. ……………………………………………………………………………………………………….2.2 3x - 4y - 7 = 0 , 6x - 8y + 16 = 0……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.3 5x + 12y - 15 = 0 , 10x + 24y + 9 = 0……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  63. 63. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.4 x - y - 3 = 0 , 3x - 3y + 7 = 0……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  64. 64. 2.5 3x + y + 5 = 0 , 7 - 3x - y = 0……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….3. 3x - 4y - 5 = 01……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  65. 65. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….4. 4x - 3y + 26 = 0(8 , 8) 2……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  66. 66. 5. 12y = 5x - 7(-1 , 2) 3……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  67. 67. 6. 12x - 5y - 10 = 08……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  68. 68. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….81.1.1 (2 , 1) 3
  69. 69. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.2 (7 , 4)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  70. 70. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.3 (-1 , 5) (-4 ,-6)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  71. 71. ……………………………………………………………………………………………………….1.4 (-1 , 3) (7 , -5)……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.5 (7 , -3) X……………………………………………………………………………………………………….
  72. 72. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….1.6 1 X Y5……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  73. 73. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.2.1 x2 + y2 + 4x - 2y + 1 = 0……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  74. 74. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.2 x2 + y2 + y = 0……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….
  75. 75. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.3 x2 + y2 + 10x - 4y + 13 = 0……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.4 x2 + y2 + x + 2y + 1 = 0
  76. 76. ……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….2.5 x2 + y2 + 6x + 2 = 0……………………………………………………………………………………………………….……………………………………………………………………………………………………….……………………………………………………………………………………………………….

×