04.06.2013 Views

geometria analitica de lehmann - MATEMATICAS EJERCICIOS ...

geometria analitica de lehmann - MATEMATICAS EJERCICIOS ...

geometria analitica de lehmann - MATEMATICAS EJERCICIOS ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

472 GEOMETRIA ANALITICA PLANA<br />

Grupo 13, p. 94<br />

5. 2x - y + 8 = 0. 6. 12x - 21 y — 28 = 0.<br />

7. 3x —4y + 12 = 0.<br />

8. 5x~ 12 y + 65 = 0, 5x — 12 y - 65 -■ 0.<br />

9. 2x + 3y + 12 = 0, 2x + 3y -- 12 « 0.<br />

10. 5* - y - 13 = 0. 11. 9x + 7y - 11 = 0.<br />

12. 2* — í/ + 6 — 0, 5* — 2y + 10 = 0.<br />

13. 4jc + 3t/ — 12 == 0, x + 2y -f 2 = 0.<br />

14. 3x — y — 3 \ / 2 = 0, 3x — y + 3 \ / 2 = 0.<br />

15. 7x + \2y - 42 * 0, 7* + 3y + 21 =■ 0.<br />

16. 4* + 3t/ — 12 = 0, 8.x: + 15y - 36 =■ 0.<br />

17. ■y/ 5x 2y — 9 — 0, y + 3 == 0.<br />

18. 2* + 3y - 12 = 0, 3x + 2y -- 12 = 0.<br />

19. x — Ay = 0. 21. 3x - y + 5 - 0.<br />

20. 4* + 5t/ - 7 = 0. 22. 8* - 3y + 5 = 0.<br />

23. 5x - \2y + 26 = 0, x = 2.<br />

24. x — 4y + 8 * 0, 9x - 4y —24 = 0.<br />

25. 3x — y — 18 = 0, x — 2y — 1 = 0.<br />

Grupo 14, p. 96<br />

3. 41* - 5y - 89 = 0. 16. 18*.<br />

12. 2. 18. ki = ± 4, kz = =*= 14.<br />

15. (7, 4 ).<br />

1.<br />

2.<br />

(x + 3)2 + ({/ + 5)2 . 49.<br />

(jc + l ) 2 + (y - 4)2 - 10.<br />

Grupo 15, :p. 102<br />

3. ( * - 7 ) 2 + (y + 6 ) 2 « 8 9 . 17. (* - 7 ) 2 + J,* = 45.<br />

4.<br />

5.<br />

6.<br />

8.<br />

9.<br />

10.<br />

( x - 2) 2 + ( y + 4) 2 = 4.<br />

x 2 + (t/ + 2)2 = 4 .<br />

(x + 4 ) 2 + (y + 1)* — 52.<br />

(x “ 6) 2 + (y + 3) 2 = 25.<br />

( x - 4) 2 + (y - 2 ) 2 = 58.<br />

7,07.<br />

15.<br />

18.<br />

/ , 11\2 325<br />

* 2 + ( y + T ) = - .<br />

19. ( , - 2 ) . + («, + * ) * - f .<br />

20.<br />

/ 1 \2 . / 65\2 6205<br />

( * 22/ \ 22/ 242 ‘<br />

12. (x + 1)2 + y> - 2 * 21. x — 2y + 10 = 0.<br />

13. < , - 2 > . + ( „ + ' ) ’ - | £ .<br />

22.<br />

23.<br />

x + 2y - 20 = 0.<br />

jc + 2y — 9 = 0, x — 2y 3 =<br />

14. ( * - 2 ) 2 + ( y - l ) 2 - l . 24. (x — 5) 2 + (y + 3) 2 = 8.<br />

25. ( * - 5 ) » + (y + 2)* = 1. (* - 3 ) 2 + (y + 1 ) 2 = ^ I .

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!