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If e(1) and e(2) be the eccentricities o...

If `e_(1) and e_(2)` be the eccentricities of the hyperbolas `9x^(2) - 16y^(2) = 576 and 9x^(2) - 16y^(2) = 144` respectively, then -

A

`e_(1) = 2e_(2)`

B

`e_(2) = 2e_(2)`

C

`2e_(1) = 3e_(2)`

D

`e_(1) = e_(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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  2. If 0 lt alpha lt (pi)/(2), then which of the following is independent ...

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  3. If a point moves on a plane in such a way that the difference of its d...

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  5. Eccentricity of a rectangular hyperbola is -

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  6. The parametric equations of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

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  7. The length of latus rectum of the hyperabola 9x^(2) - 25y^(2) = 225 is...

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  8. The coordinates of foci of the hyperbola x^(2) - y^(2) = 4 are-

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  9. The coordinates of the vertices of the hyperbola9x^(2)-16y^(2)=144 are...

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  10. The length of the transverse axis of the hyperbola 9y^(2) - 4x^(2) = 3...

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  11. In each of the find the coordinates of the foci and the vertices, the ...

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  12. The length of latus rectum of the hyperabola 9y^(2) - 4x^(2) = 36 is -

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  13. The length of the conjugate axis of the hyperbola 9x^(2) - 25y^(2) = 2...

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  14. If foci of the ellipse (x^(2))/(16) + (y^(2))/(b^(2)) = 1 coincide wit...

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  15. If e(1) and e(2) are the respective eccentricities of the hyperbola 4x...

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  16. The eccentricity of the hyperbola 2x = a(t + (1)/(t)), 2y = a(t-(1)/(t...

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  17. The distance between the two foci of the hyperbola x = 6 sec phi , y =...

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  18. If e(1) and e(2) be the eccentricities of the hyperbolas 9x^(2) - 16y^...

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  19. If the latus rectum of a hyperbola is equal to half of its transverse ...

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  20. The difference of focal distances of any point on a hyperboal is equal...

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