If the equation`2^((2pi)/cos^(-1)x)-(a+1/2)2^((pi)/cos^(-1)x-a^2=0` has exactly one real solution the range of `a` is equal to

To the equation 2^(2pi//cos^(-1)x)-(a+1/2)2^(pi//cos^(-1)x)-a^(2)=0 has only real root, then

To the equation 2^(2pi//cos^(-1)x) - (a + (1)/(2)) 2^(pi/cos^(-1)x) -a^(2) = 0 has only one real root, then

To the equation 2^(2pi//cos^(-1)x) - (a + (1)/(2)) 2^(pi/cos^(-1)x) -a^(2) = 0 has only one real root, then

If the equation sin^(-1)(x^(2)+x+1)+cos^(-1)(lambda x+1)=(pi)/(2) has exactly two solutions,then the value of lambda is

If the equation sin^(-1)(x^2+x +1)+cos^(-1)(lambda x+1)=pi/2 has exactly two solutions, then the value of lambda is

tan((pi)/(4)+(1)/(2)cos^(-1)x)+tan((pi)/(4)-(1)/(2)cos^(-1)x),x!=0 is equal to

Q.if solution of the equation 2sin^(-1)x cos^(-1)x-2 pi sin^(-1)x-pi cos^(-1)x+pi^(2)=0 are alpha and beta such that then which of the following is lare correct?