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Find the equation of hyperbola whose ecc...

Find the equation of hyperbola whose eccentricity ` = sqrt(2)` and passing through (-5,3) .

A

`16x^(2) - 16y^(2) = 1`

B

`16x^(2) - 16y^(2) = -1`

C

`x^(2) - y^(2) = 16`

D

`4x^(2) -4y^(2) = 1`

Text Solution

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The correct Answer is:
C
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. e = 3/2 and distance between directrices = 8/3

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  2. Equation of the hyperbola in standard form which passes through the po...

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  3. Find the equation of hyperbola whose eccentricity = sqrt(2) and passi...

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  4. Eccentricity and latus-rectum of x^(2) - 3y^(2) = 36 are

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  5. For hyperbola, If transverse axis = conjugate axis , then e =

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  6. If transverse axis = 2 (latus-rectum ), then e =

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  7. If conjugate axis = 2 (latus-rectum ), then e =

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  8. If distance between foci = 3 (distance between directrices) . Then e =

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  9. Focus of the parabola y^(2) = 8x is a vertex of a hyperbola whose con...

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  10. Co-ordinates of point P ((pi)/(4)) on the hyperbola 25x^(2) - 9y^(2)...

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  11. Focal distances of a point P : x = 13 on 13 on 81x^(2) - 144 y^(2) ...

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  12. If P(theta) is a point on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b...

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  13. The length intercepted by the hyperbola x^(2) - 4y^(2) = 1 on the lin...

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  14. If ea n de ' the eccentricities of a hyperbola and its conjugate, p...

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  15. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

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  16. If the equation 4x^(2) + ky^(2) = 18 respresents a hyperbola whose ec...

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  17. The eccentricity of the hyperbola (sqrt(2006))/(4) (x^(2) - y^(2))= 1...

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  18. If e(1) , e(2) " and " e(3) the eccentricities of a parabola , and e...

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  19. If e(1) be the eccentricity of a hyperbola and e(2) be the eccentricit...

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  20. If t is a non-zero parameter , then the locus of the point of intersec...

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