Find the range of `lambda` for which equation `x^3+x^2-x-1-lambda=0` has `3` real solution.

Find the range of lambda so that the equation sin^(6)x+cos^(6)x=lambda-1 has a real solution.

Find the range of lambda so that the equation sin^(6)x+cos^(6)x=lambda-1 has a real solution.

Find the number of integral values of lambda, for which equation 4cos x+3sin x=2 lambda+1 has a solution.

Find the value of lambda for which equation 3x^(4)-8x^(3)-6x^(2)+24x=lambda has

Find the set of values of lambda for which the equation |x^(2)-4|x|-12]=lambda has 6 distinct real roots.

The real values of lambda for which the equation,4x^(3)+3x^(2)-6x+lambda=0 has two distinct real roots in [0,1] lie in the interval (A)(0,oo)(B)(3,oo)(C)(-5,(7)/(4))(D)[0,(7)/(4))

Find the value of lambda the equation is 2x+3y+lambda where x=2 and y=1

find the values of lambda such that the equation tan^(2)x+lambda tan x+4=0 has atleast one real root

If complete set of values of lambda for which |x-1|+|x-2|+|x-3|+|x-4|=lambda has infinitely many solution is {a} , then the value of (1)/(a) is

The equation cos^(4)x-(lambda+2)cos^(2)x-(lambda+3)=0 have a real solution if