If (cot^-01 x)^2 -7(cot^-1 x)+10gt0 then...

If `(cot^-01 x)^2 -7(cot^-1 x)+10gt0` then range of `x` will be (A) `(-oo, cot2)` (B) `(-oo, cot5)` (C) `(cot2,cot5)` (D) `(cot2,oo)`

A

`(-oo, cot 2)`

B

`(-oo, cot 5)`

C

`(cot2, cot 5)`

D

`(cot 2, oo)`

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The correct Answer is:

D

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