The number of solutions of `z^2+overlinez = 0` is

The number of whole number solutions of x + y + z = 20 is

The number of solution of cos 2 theta = sin theta in (0, 2 pi) is

The number of solutions of the system of equations 2x+y-z=7,x-3y+2z=1, x+3y-3z=5 is

The number of solution of 2cosx=|sinx| where x in [0.4pi] is/are

The number of solutions of equations |tan2x|=sin x" in"[0,pi]

Let z be a complex number satisfying equation z^p=z^(-q),w h e r ep ,q in N ,t h e n (A) if p=q , then number of solutions of equation will be infinite. (B) if p=q , then number of solutions of equation will be finite. (C) if p!=q , then number of solutions of equation will be p+q+1. (D) if p!=q , then number of solutions of equation will be p+qdot

If cos(x+pi/3)+cos x=a has real solutions, then (a) number of integral values of a are 3 (b) sum of number of integral values of a is 0 (c) when a=1 , number of solutions for x in [0,2pi] are 3 (d) when a=1, number of solutions for x in [0,2pi] are 2

The number of solution of the equation int_(-2)^(1)|cos x|dx=0,0ltxlt(pi)/(2) , is

The system of equations -2x+y+z=a , x-2y+z=b , x+y-2z=c , has: (a)no solution if a+b+c!=0 (b)unique solution if a+b+c=0 (c)infinite number of solutions if a+b+c=0 (d)none of these

The number of real solution of the equation x^(2)-3|x|+2=0 is