Let a denotes the number of non-negative values of p for which the equation `p.2^x +2^(-x)=5` possess a unique solution. Then find the value of 'a'.

Let 'a' denotes the number of non-negative values of p for which the equation p^(2^(x))-2^-2x = 5 possess a unique solution. If a, a_1 a_2 a_3, ... a_20,6 are in HP. and a, b_1, b_2,b_3,........b_20, 6 are in A.P., then find the value of a_18b_3-5.

If the the equation a sin x + cos 2x=2a-7 possesses a solution, then find the values of a.

If the the equation a sin x + cos 2x=2a-7 possesses a solution, then find the values of a.

The number of integral values of a for which the equation cos2x+asinx=2a-7 possesses a solution is

The number of integral values of a for which the equation cos2x+asinx=2a-7 possesses a solution is

If the equation a sin x+cos2x=2a-7 possesses a solution,then find the value of a .

Find the values of p for which the equation 1+p sin x=p^(2)-sin^(2)x has a solution

The value of p, for which the equations 6x+py-5=0 and 3x+2y-8=0 have unique solution is :

Find all the values of p for which the equation x^(4)-4x^(3)-8x^(2)+p=0 has all real solutions