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

Equation |x-3|-|x-5|=lambda has exactly one real solution if lambda is equal to

Equation |x-3|-|x-5|=lambda has exactly one real solution if lambda is equal to

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

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

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 3x^(2)+3y^(2)+6 lambda x+2 lambda=0 represents a circle,then the value of lambda. lies in

If the equation 3x^(3)+2x^(2)-5x+lambda=0 ,has two distinct and real roots in [0,1] ,then the values lambda can take are

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