The number of integral value(s) of `k` for which the equation

The number of integral value(s) of 'p' for which the equation 99 cos 2theta - 20 sin 2theta = 20p + 35 , will have a solution is

The number of integral value(s) of ''p' for which the equation 99cos2 theta-20sin2 theta=20p+35, will have a solution is

The number of integral values of 'k' for which the equation 3sinx + 4 cosx = k + 1 has a solution, k in R is

The number of integral values of k for which the equation 7cosx+5sinx=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 number of integral values of k for which the equation 12cosx - 5 sinx = 2k+1 has a solution.

Find the number of integral values of k for which the equation 12cosx - 5 sinx = 2k+1 has a solution.

The number of integral values of k for which the equation 7 cos x + 5 sinx = 2k+1, has a solution is :

Find the number of integral values of k for which the equation 7 cos x+5 sin x=2k+1 has at least one solution.