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If a,b,c are positive constants such that `agtb` then the maximum value of `r` , given by `c^4/r^2=a^2/(sin^2theta)+b^2/(cos^2theta)` , must be

A

`c^2/(a-b)`

B

`c^2/(a+b)`

C

`c^2/(sin^2theta)`

D

`c^2/(sqrt(ab))`

Text Solution

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The correct Answer is:
B
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