The set of values of `a` for which `x^2+ax+sin^(-1)(x^2-4x+5)+cos^(-1)(x^2-4x+5)=0` has at least one real root is given by

The set of values of 'a' for which x^(2)+ax+sin^(-1) (x^(2)-4x+5)+cos^(-1) (x^(2)-4x+5)=0 has at least one solution is

The values of 'a' for which x^2+ax+sin^-1(x^2-4x+5)+cos^-1(x^2-4x+5) =0, has at least one solution, is

The set of values of a for which x^2+ax+sin^-1 (x^2-4x+5) +cos^-1 (x^2-4x+5)=0 has at least one solution is (A) (-oo, -sqrt(2pi)] cup[sqrt[(2pi, oo] (B) (-oo, -sqrt(2pi)] cup[sqrt((2pi, oo) (C) R (D) none of these

The value of a for which ax^(2)+sin^(-1)(x^(2)-2x+2)+cos^(-1)(x^(2)-2x+2)=0 has a real solution is

The value of 'a' for which ax^2 + sin^-1 (x^2 - 2x + 2) + cos^-1 (x^2 - 2x + 2) = 0 has a real solution is

The set of values of k for which x^(2)-kx+sin^(-1)(sin4)>0 for all real x is

The set of values of k for which x^2 - kx + sin^-1 (sin 4) > 0 for all real x is

The set of values of k for which x^2 - kx + sin^-1 (sin 4) > 0 for all real x is

The set of exhaustive values of a for which the equation |ax-2|=2x^(2)+ax+4 has at least one positive root,is

If (x^(2) + 5)/(2) = x - 2 cos (m + nx) has at least one real root, the