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The solution set of inequality ( cot^(-1...

The solution set of inequality `( cot^(-1) x) (tan^(-1) x) + (2 - pi/2) cot^(-1) x - 3 tan^(-1) x - 3 ( 2 - pi/2) gt 0 `, is

A

`x in ( tan 2, tan 3) `

B

` x in ( cot 3, cot 2) `

C

` x in ( - infty, tan 2) cup ( tan 3, infty)`

D

`x in ( - infty, cot 3) cup ( cot 2, infty) `

Text Solution

Verified by Experts

The correct Answer is:
B
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