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If a and b are such that `a sin theta=b cos theta` for `0 le theta lt (pi)/(4)`, then `sqrt((a-b)/(a+b))+sqrt((a+b)/(a-b))` equals

A

`(2)/(sqrt(cos 2theta))`

B

`2 cos theta`

C

`(2 cos theta)/(sqrt(cos 2theta))`

D

`(2 sin theta)/(sqrt(cos 2theta))`

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The correct Answer is:
c
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