geometria analitica de lehmann - MATEMATICAS EJERCICIOS ...

480 GEOMETRIA ANALITICA PLANA
5. 7x2 - tx y + \5y2 - 14* + 102y + 151 = 0.
7. ( - }í, ~ %). 8.
12. (2, 0) , 2x - 9 = 0; ( - 2, 0) , 2x + 9 = 0.
13. (5, 0) , 5* - 9 = 0; ( - 5, 0), 5x + 9 = 0.
14. (0, 2) , 2y - 5 = 0; (0, - 2) , 2t/ + 5 = 0.
15. (0, 3) , 3y — 7 = 0; (0, - 3) , 3t/ + 7 = 0.
16. ( - 3, 1) , 4* - 29 = 0; (5, 1) , 4* + 21 = 0.
Grupo 36, p. 231
1. 2x + y — 4 = 0, * — 2y + 3 = 0.
2 . 3* — y - 2 = 0, 9* - 3y + 22 = 0.
3. 3* - 2y - 5 = 0, 7* - by - 21 = 0.
4. 3x — y — 2 = 0; x + 3 y - 4 = 0; ; V IO ; y3; 3.
5. * + y — 1 = 0 , 3 * + 3 y + l = 0. 13. * 2 + *y — y2 + 2* — 3y + 5 =
6. 29°45'; 47°29/. ,14. * 2 + y2 + 2x - 2y - 23 = 0.
15. x 2 + 2*y + y2 + 3x — 2y = 4; 169*2 + 26xy + y2 + 27* — 146y = 196.
16. * 2 + *y + y2 — 2* — y = 0.
18. 9*2 + 33*y + 9y2 - 8* + 22y - 1 = 0,
19. 4*2 — 17*i/ — I Oí/2 — 24* + 371/ + 10 = 0.
21. 4*2 + 4 xy + y2 + 12* + 20t/ + 8 = 0,
4*2 - 4*i/ + y2 - 12* - 20y - 16 = 0.
22. 2x'¿ — 4 xy + 2y2 — * + 3y — 5 = 0,
2*2 + 12*y + 18y2 + 23* — 5y — 1 3 = 0 .
27. 3*2 + 4y2 = 48, 3*2 — y2 = 3.
Grupo 37, p. 243
5. ( V 2a, j ) , ( V 2 a , ( V 2 a , — (V2a, —
6. (1, 120°), (1, 240°). 8. Circunferencia: r = 2.
9. Línea recta: 0 =
4
10. P » ( - X V I , - % V 2 ) , P 2( V 3, 1), Pa(K v /3 , - X ) , P4 ( - 3 , 3).
11. ( V Ü , 123° 41'). (V T 3 , 326° 19').
12. r = ± 2. 16. r2 eos 20 = 4.
14. 2r2 + 2r eos 0 — 6r sen 0 -|-3 = 0. 17. r = 2 sen 6.
15. 6 = are tg 2. 18. r2 sen 26 = 4.