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Equation of the hyperbola in standard fo...

Equation of the hyperbola in standard form which passes through the points `(6, 9)` and `(3, 0)` is

A

`3x^(2) - y^(2) = 27`

B

`(x^(2))/(27) - (y^(2))/(3) = 1`

C

`(x^(2))/(27) - (y^(2))/(9) = 1`

D

`27x^(2) - 3y^(2) = 9`

Text Solution

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

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

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

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

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

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

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

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

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

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

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

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

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