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Solution set of inequality `(cot^-1x)^2-5cot^-1x+6>0` is (A) `(cot 3 , cot2)` (B) `(-oo, cot3) uu (cot2 , oo)` (C) `(cot2, oo)` (D) None of these

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Solution set of inequality `(cot^-1x)^2-5cot^-1x+6>0` is (A) `(cot 3 , cot2)` (B) `(-oo, cot3) uu (cot2 , oo)` (C) `(cot2, oo)` (D) None of these
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`(cot^(-1))^2-5cot^(-1)+6>0`
`Let cot^(-1)x=t`
`t^2-5t+6>0`
`t(t-3)-2(t-3)`
`(t-2)(t-3)>0`
t>3 and t<2<br> `cot^(-1)>3 and cot^(-1)x<2`<br> `x in(-oo,cot3)uu(cot2,oo)`.
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