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If x^2-y^2sec^2theta=10 be a hyperbola a...

If `x^2-y^2sec^2theta=10` be a hyperbola and `x^2sec^2theta+y^2=5` be an ellipse such that the eccentricity of hyperbola=`sqrt(5)` eccentricity of ellipse then find the length of latus rectum of ellipse

A

`(4sqrt(5))/(3)`

B

`(2sqrt(5))/(3)`

C

`2sqrt(6)`

D

`sqrt(30)`

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A
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