Q 1175112966.     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:

JEE 2007
A

`[0,pi]`

B

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

C

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

D

`[0,pi/2)`

HINT

The function will be defined when the following conditions are satisfied : `-1<=(x/2-1)<=1` and `cosx`>`0`

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