The complete set of values of 'a' for wh...

The complete set of values of 'a' for which the functions `f(x)=tan^(-1)(x^(2)-18x+a) gt 0, forall x in R`, is

A

`(81, infty)`

B

`[81,infty)`

C

`(- infty, 81)`

D

`(- infty, 81]`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

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 is

Find the values of x for which the functions f(x)= 3x^(2)-1 and g(x)= 3 + x are equal

Find the complete set of values of lambda, for which the function f(x)={x+1,x 1 is strictly increasing at x=1

The function f (x) = tan x-x ………..

The function f(x)=(2x^(2)-1)/(x^(4)), x gt 0 , decreases in the interval …………. .

Vertify mean value theorem for the following functions: f(x) = tan^(-1)x, x in [0, 1]

Which of the following is a graph of f(x) = tan^(-1) x , ( x in R) ?

The least value of the function f(x)=ax+(b)/(x) is …………… (Where a gt 0, b gt 0, c gt 0 )

The inverse of the function of f:R to R given by f(x)=log_(a) (x+sqrt(x^(2)+1)) (a gt 0, a ne 1) is

For which value of x, function f(x)=(40)/(3x^(4)+8x^(3)-18x^(2)+60) has maximum and minimum ?