If `|4-x^2|=a` such that a is integer then find number of values of a such that given equation has four solution

The number of integral values of n such that the equation 2n{x}=3x+2[x]has exactly 5 solutions.

Find the numbers of intergral values of a for which the equation cos2x+asinx=2a-7 has a solution.

The number of integer values of k, for which the equation 2 sin x =2k+1 has a solution, is

The number of integral values of k for which the equation |x^(2)-5|x|+6|=k has four solution is

Find the values of k for which the given equation has real roots: 9x^(2)+3kx+4=0

The number of integers c such that x^(2)-6|x|+c=0 has exactly four solutions.

Given 2x-y+2z=2,x-2y+z=-4 and x+y+ lambdaz =4 then the value of lambda such that the given system of equations has no solution is

Given , 2x-y+2z=2, x-2y+z=-4, x+y+ lambda z=4, then the value of lambda such that the given system of equations has no solution is :

Given , 2x-y+2z=2, x-2y+z=-4, x+y+ lambda z=4, then the value of lambda such that the given system of equations has no solution is :