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The exhaustive set of values of a for wh...

The exhaustive set of values of a for which `a-cot^(-1) 3x = 2 tan^(-1) 3x + cos^(-1)xsqrt3+ sin^(-1) x sqrt3` may have solution a)`[-pi/4,pi/4]` b)`(pi/2,(3pi)/2)` c)`[(2pi)/3,(4pi)/3]` d)`[-(3pi)/6,(7pi)/6]`

A

`[-pi/4,pi/4]`

B

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

C

`[(2pi)/3,(4pi)/3]`

D

`[-(3pi)/6,(7pi)/6]`

Text Solution

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The correct Answer is:
C
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