geometria analitica de lehmann - MATEMATICAS EJERCICIOS ...

470 GEOMETRIA ANALITICA PLANA
16. (0, 2) , (2, 0) . 19. (3,2), ( - 3 , - 2 ) , (2, 3), ( - 2 , -3 )
17. (2, 2 ), (2, - 2 ). 20. (4, 4 ). (3, 1).
G rupo 8, p. 54
3. x - 2y — 3 = 0. 14. y2 - lOx - 8y + 11 = 0.
4. x 2 + y2 = 4. 15. 7x2 + 16y2 = 112.
5. x 2 + y2 — 4x — 6y — 12 = 0. 16. 16x2 + 7y2 = 112.
6. 2x + 3y — 9 = 0. 17.
7. x + y - 4 = 0. 18. 5y2 - 4x2 = 20.
8. x 2 + y2 - 9x - 2y + 17 = 0. 19. x» + y2 - 2x + 2 y - 2 = 0.
9. 2x + y + 9 = 0. 20. 3x2 + 4y2 - 24x - 8y + 40 = 0.
10. x2 + y2 + 6x + 4y + 4 = 0. 21. x 2 - 3y2 + 2x - 4y + 5 = 0.
11. x 2 - 8y + 16 = 0. 22. x2 + y2 = 4i
12. x 2 + y2 + x — 7y + 12 = 0. 23. xy + x + 7y — 17 = 0.
13. 4x + 6 y - 21 = 0, 24. 3x2 - y2 - 18x + 24 = 0.
4x + 6y + 3 = 0. 25. 3x = 6 - V 3y2 + 9 J yj¿0.
G rupo 9, p . 63
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1. 2x - y + 3 = 0. 15. 5x + y + 9 = 0.
2. x - y + 3 = 0. 16. llx - 5y - 9 = 0,
3. 3x + y + 2 = 0. 13x - y - 45 = 0.
4. 5x + 9 y — 38 - 0. 17. ( - 4 , 11), (12, 3 ), (0, - 9 ) .
5. 2x — y = 0, 3x — 4y + 10 = 0, 18. ( « . H ).
7x + 2y — 56 = 0, y = 0. 19. ('%, y%).
6. 3x - 2y - 6 = 0. 20. (.%. %)■
7. * + y = 1 21. 36.
- 4 + - 4 22. 4x + y - 10 = 0.
8. *
1
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2
. = 1.
23. ( - 4 , 3), (4, 6), (9, 1), (1, - 2 ) .
24. 10.
9. x + y — 3 = 0 . 25. 14/s-
10. 6x + 5y — 82 = 0. 26. 11.
11. 4x — 7y + 36 = 0. 27. A = ío/io, B - ^ í 9.
13. 3x — 5y + 8 = 0. 29. y = m x — am.
14. A B : x - y + 3 = 0; BC: 5x + y - 27 = 0; A C: x + 2y = 0.
Grupo 10, p . 70
2. 3x + y + 2 = 0.
6. 1 ± V 7
3. 5x - 3y - 15 = 0. 3
4, 4* + 3y + 13 = 0, 7. %: - Yt. %■
5. 4. 8. - 105°57'; 2^ , 10.