Number of integral values of `b` for which the equation `(x^3)/3-x=b` has three distinct solutions is____

Find the minimum integral value of k for which the equation e^(x)=kx^(2) has exactly three real distinct solutions.

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

Number of integral values of k for which the equation 4 cos^(-1)(-|x|)=k has exactly two solutions, is: (a) 4 (b) 5 (c) 6 (d) 7

Minimum integral value of k for which the equation e^(x)=kx^(2) has exactly three real distinct solution,

The range of real values of 'p' for which the equation 2log_3^2 x-|log_3 x| +p = 0 has four distinct solutions 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.

The number of integral values of k for which the equation sin ^−1 x+tan −1 x=2k+1 has a solutions is:

Find the value of k for which the equation 3x^(2)-6x+k=0 has distinct and real root.

The number of integral values of a for which the equation cos2x+a sin x=2a-7 possessess a solution.

The number of integer values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is (a)1 (b) 2 (c) 3 (d) 4