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Find the equation of the hyperbola whole...

Find the equation of the hyperbola whole transverse and conjugate axes are 8 and 6 respectively.

A

`16x^(2) - 9y^(2) = 1`

B

`(x^(2))/(9) - (y^(2))/(16) = 1`

C

`9x^(2) - 16y^(2) = 1`

D

`(x^(2))/(16) - (y^(2))/(9) = 1`

Text Solution

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The correct Answer is:
D
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. In the ellipse 9x^(2) + 5y^(2) = 45 , distance between the foci is

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  2. If the distance foci of an ellipse is 8 and distance between its dire...

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  3. Find the equation of the hyperbola whole transverse and conjugate axes...

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  4. Find the equation of hyperbola where, conjugate axis is 3 along Y-axis...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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