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If f:R rarrA defined as f(x)=tan^(-1)(sq...

If `f:R rarrA` defined as `f(x)=tan^(-1)(sqrt(4(x^(2)+x+1)))` is surjective, then A is equal to

A

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

B

`[0, (pi)/(2))`

C

`[(pi)/(3), (pi)/(2))`

D

`(0, (pi)/(3)]`

Text Solution

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The correct Answer is:
C
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