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 set of values of lambda for which the equation "sin"^(4) x + "cos"^(4) x =lambda has a solution, is

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

The value of lambda such that the system x-2y+z=-4,2x-y+2z=2,x+y+lambda z=4 has infinitely many solutions is

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 range of lambda for which equation x^(3)+x^(2)-x-1-lambda=0 has 3 real solution.

If the system of linear equations x+ y +z = 5 x+2y +2z = 6 x + 3y + lambdaz = mu, (lambda, mu in R) has infinitely many solutions, then the value of lambda + mu is

Find the complete set of values of lambda, for which the function f(x)={x+1,x 1 is strictly increasing at x=1

The value of lambda for the pair of equations to have infinitely many solutions is lambda x + 3y = -4 x - 6y = 8