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The length of the transverse axis of a h...

The length of the transverse axis of a hyperbola is `7` and it passes through the point `(5,-2).` The equation of the hyperbola is

A

`(x^(2))/(49) - (y^(2))/(196) = 1`

B

`(y^(2))/(196) - (x^(2))/(49) = 1`

C

`(4x^(2))/(7) - (51y^(2))/(196) = 1`

D

`4x^(2)- 357y^(2) = 196`

Text Solution

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The correct Answer is:
C
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
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  2. Find the equation of hyperbola where, conjugate axis is 3 along Y-axis...

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  3. The length of the transverse axis of a hyperbola is 7 and it passes th...

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  4. One focus at (4,0) corresponding directrix x = 1 .

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  5. Distance between foci = 10 and eccentricity = 3/2

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  6. Conjugate axis = 10 and eccentricity = 6/5

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  7. One focus at (3,0) and eccentricity = 6/5

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  8. Find the equation of hyperbola whose conjugate axis = latus-rectum = 8...

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  9. e = 3/2 and distance between directrices = 8/3

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

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

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

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

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

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

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

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

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

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

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