1.

Let `f(x) = tan^(-1) (x^2-18x + a) gt 0 x in R`. Then the value of a lies inA. `(81,oo)`B. `{81,oo)`C. `(-oo,81)`D. `(-oo,81]`

Answer» Correct Answer - A
Given `f(x)=tan^(-1)(x^2-18x+a)gt0`
`rArrtan^(-1)(x^2-18x+a) gt0`
`rArrx^2-18x+agt0`
`18^2-4a gt0`
`rArr a gt 18^2/4=(18xx18)/4=81`
`rArra gt 81`
`rArr a in (81,oo)`


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