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The eccentricity of the hyperbola 3 x^(2...

The eccentricity of the hyperbola `3 x^(2)-4 y^(2)=-12` is

A

`(sqrt(17))/(3)`

B

`(sqrt(7))/(2)`

C

`(4)/(3)`

D

`(3)/(sqrt(7))`

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The eccentricity of the hyperbola 4 x^(2)-9 y^(2)=36 is

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  2. The eccentricity of the hyperbola 3 x^(2)-4 y^(2)=-12 is

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  3. The foci of the hyperbola 9 y^(2)-4 x^(2)=36 are the points

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  4. Eecentricity of the hyperbola 9 x^(2)-16 y^(2)=144 is

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  5. The length of the conjugate axis of the hyperbola 49 x^(2)-4 y^(2)=196...

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  6. The length of the Iatus rectum of the hyperbola 49 x^(2)-16 y^(2)=784 ...

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  7. The foci are (6,4) and (-4,4) and e=2. Then the square of the semi con...

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  8. The distance between the foci is 4 sqrt(13) and the length of the conj...

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  9. If the latus rectum subtends a right angle at the centre of a hyperbo...

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  10. The latus rectum through one focus subtends a right angle at the fart...

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  11. The latus rectum of a hyperbola through one focus subtends 60^(circ) a...

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  12. The eccentricity of the hyperbola 9 x^(2)-16 y^(2)-18 x-32 y-151=0 i...

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  13. The centre of the hyperbola 9 x^(2)-16 y^(2)+72 x-32 y=16 is

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  14. The centre of the hyperbola 9 x^(2)-16 y^(2)-18 x-32 y=151 is

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  15. The length of the transverse axis of the hyperbola 4 x^(2)-9 y^(2)+...

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  16. The eccentricity of the hyperbola 4x^(2)-9y^(2)-8x=32 is

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  17. The distance between the foci is 16 and the eccentricity is sqrt(2). T...

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  18. A hyperbola with eccentricity e=2 has a focus at (0,0) and correspondi...

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  19. The equation of the hyperbola with centre (0,0), distance between the ...

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  20. Tangent to hyperbola 4 x^(2)-5 y^(2)=16 at (3,-2) is

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