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If the latus rectum subtends a right an...

If the latus rectum subtends a right angle at the centre of a hyperbola then its eccentricity is

A

`(sqrt(13))/(2)`

B

`(sqrt(5)-1)/(2)`

C

`(sqrt(5)+1)/(2)`

D

`(sqrt(3)+1)/(2)`

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
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  7. The centre of the hyperbola 9 x^(2)-16 y^(2)+72 x-32 y=16 is

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

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

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

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

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

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

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

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

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

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