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The latus rectum of a hyperbola through ...

The latus rectum of a hyperbola through one focus subtends `60^(circ)` at the other focus then its eccentricity is

A

`sqrt(2)`

B

`sqrt(3)`

C

`sqrt(5)`

D

`sqrt(6)`

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The correct Answer is:
B
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. If the latus rectum subtends a right angle at the centre of a hyperbo...

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

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

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

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

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

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

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

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

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

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

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

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  13. The line 5 x+12 y=9 touch the hyperbola x^(2)-9 y^(2)=9 at

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  14. The conjugate axis of a hyperbola is 8 and passes through (3,-2) . The...

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  15. The tangents to hyperbola 3 x^(2)-y^(2)=3 which are perpendicular to t...

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  16. The equation to the normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1...

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  17. The equation of the normal at theta=(pi)/(6) to the hyperbola 3 x^(2)-...

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  18. The normal to hyperbola 4 y^(2)-5 x^(2)=20 at the point (-4,5) is give...

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  19. The asymptotes of the hyperbola are y pm x sqrt(3)=0 and it passes thr...

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  20. The equation of a hyperbola whose asymtotes are 3xpm5y=0 and vertices ...

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