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If eccentricity of the hyperbola (x^(2))...

If eccentricity of the hyperbola `(x^(2))/(cos^(2) theta)-(y^(2))/(sin^(2) theta)=1` is move than `2` when `theta in (0,(pi)/2)`. Find the possible values of length of latus rectum (a) `(3,oo)` (b) `1,3//2)` (c) `(2,3)` (d) `(-3,-2)`

A

(2,3)

B

`(3, oo)`

C

`(3//2, 2)`

D

`(1, 3//2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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