If the equation `x^(2)-2|x|=lambda` has exactly six different real solutions then value of `lambda` can be :-

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

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

If one root of the equation 3x^(2)-5x+lambda=0 is the reciprocal of the other, then the value of lambda is

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

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

If the system of equations x+y+z=6, x+2y+lambdaz=10 and x+2y+3z=mu has infinite solutions, then the value of lambda+2mu is equal to

If the equation x^(log_(a)x^(2))=(x^(k-2))/a^(k),a ne 0 has exactly one solution for x, then the value of k is/are

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

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