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The solution set of inequality (tan^(-...

The solution set of inequality
`(tan^(-1)x)(cot^(-1)x)-(tan^(-1)x)(1+(x)/(2))-2cot^(-1)x+2(1+(pi)/(2))gtlim_(yrarr-oo)[sec^(-1)y-(pi)/(2)]` is (where [ . ]denotes the G.I.F.)

A

`(tan 1, tan 2)`

B

`(-cot 1, cot2)`

C

`(-tan1, tan2)`

D

`(-tan 1,oo)`

Text Solution

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The correct Answer is:
C
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