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The largest interval lying in (-pi/2,pi/...

The largest interval lying in `(-pi/2,pi/2)` for which the function `[f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)]` is defined, is (1) `[0,pi]` (2) `(-pi/2,pi/2)` (3) `[-pi/4,pi/2)` (4) `[0,pi/2)`

A

`(0,pi/2)`

B

`(-pi/2, pi/2)`

C

`[-pi/4, pi/2)`

D

`[0,pi/2)`

Text Solution

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The correct Answer is:
D
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