If the equation `sin^(-1)(x^2+x+1)+cos^(-1)(lambda+1)=pi/2` has exactly two solutions for `lambda in [a , b]` , then the value of `a+b` 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

The set of values of k for which the equation sin^(-1)x+cos^(-1)x +pi(|x|-2)=k pi possesses real solution is [a,b] then the value of a + b is

If the equation |x^(2)-5x+6|-lambda x+7 lambda=0 has exactly 3 distinct solutions then lambda is equal to

If "sin" x = lambda has exactly one solution in [0, 9 pi//4] then the number of values of lambda , is

The equation "sin"^(6) x + "cos"^(6) x = lambda , has a solution if

If the equation2^((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

If the equation 2 cos x + cos 2 lambda x=3 has only one solution , then lambda is

If the equation cos (lambda "sin" theta) = "sin" (lambda "cos" theta) has a solution in [0, 2pi] , then the smallest value of lambda , is

If the equation x^(3)-6x^(2)+9x+lambda=0 has exactly one root in (1, 3), then lambda belongs to the interval