The complete set of values of a for which the function `f(x)=tan^(-1)(x^(2)-18x +a)gt 0 AA x in R` isA. `(81,oo)`B. `[81,oo)`C. `(-oo,81)`D. `(-oo,81]`

The complete set of values of a for which the function `f(x)=tan^(-1)(

1.	The complete set of values of a for which the function `f(x)=tan^(-1)(x^(2)-18x +a)gt 0 AA x in R` isA. `(81,oo)`B. `[81,oo)`C. `(-oo,81)`D. `(-oo,81]`
Answer» Correct Answer - A `tan^(-1)(x-18x+a)gt 0 AA x in R` `rarr x^(2)-18x+a gt 0 AA x in R` `rArr D = (18)^(2) - 4a lt 0` `rArr a gt 81` `rArr a in (81, oo)`

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