[" 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 '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 value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=0 has a real solution is pi/2 (b) -pi/2 (c) 2/pi (d) -2/pi

The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=0 has a real solution is pi/2 (b) -pi/2 (c) 2/pi (d) -2/pi

The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=1 has a real solution is pi/2 (b) -pi/2 (c) 2/pi (d) -2/pi

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 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 real root is given by

The set of real values of a for which the equation (2a^(2)+x^(2))/(a^(3)-x^(3))-(2x)/(ax+a^(2)+x^(2))+(1)/(x-1)=0 has a unique solution is

The set of real values of a for which the equation (2a^(2)+x^(2))/(a^(3)-x^(3))-(2x)/(ax+a^(2)+x^(2))+(1)/(x-1)=0 has a unique solution is

The set of real values of a for which the equation (2a^(2)+x^(2))/(a^(3)-x^(3))-(2x)/(ax+a^(2)+x^(2))+(1)/(x-a)=0 has a unique solution is (a) (−∞,1) (b) (−1,∞) (c) (-1,1) (d) R−{0}