Find the values of `k` for which `|(x^2+k x+1)/(x^2+x+1)|<2,AAx in R`

Find the value of k for which ( cos x + sin x) ""^2 + k sin x cos x-1=0 is an identity

Find the value of k for which the equation x^2 −6x+k=0 has distinct roots.

Find the value of x for which f(x) = 2 sin^(-1) sqrt(1 - x) + sin^(-1) (2 sqrt(x - x^(2))) is constant

Find the least value of k for which the function x^2+k x+1 is an increasing function in the interval 1ltxlt2

Find the value of x for which the matrix A=[(2//x,-1,2),(1,x,2x^(2)),(1,1//x,2)] is singular.

Determine the value of k for which x+2 is a factor of (x+1)^7+(2x+k)^3dot

Find the values of x for which matrix [(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)] is singular.

Find the number of positive integral values of k for which kx ^(2) +(k-3)x+1 lt 0 for atleast one positive x.

Find the values of k for which the following equation has equal to roots. (k-12)x^2 + 2(k-12)x+2=0