If `alpha=^m C_2,t h e n^(alpha)C_2` is equal to

If sin alpha + cos alpha = b, then sin 2 alpha is equal to

If cos^(-1)x-cos^(-1)y/2=alpha,t h e n4x^2-4x ycosalpha+y^2 is equal to (a)4 (b) 2sin^2alpha (c) -4sin^2alpha (d) 4sin^2alpha

If sin alpha + cos alpha = b then sin 2 alpha is equal to . . . . .

If alpha and beta are the roots of the equation x^(2) -1 =0 " then " (2alpha)/(beta ) + (2 beta)/(alpha) is equal to ..........

If n=1,2,3,……. then cos alpha cos 2 alpha cos 4 alpha ……. Cos 2^(n-1) alpha is equal to

if alpha , beta are two distinct solutions of a sin theta + b cos theta =c than tan ( alpha + beta)/(2) is equal to

Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alphaepsilonR then alpha is equal to (A) 2 (B) 1 (C) sqrt2 (D) sqrt3

If alpha and beta , alpha and gamma , alpha and delta are the roots of the equations ax^(2)+2bx+c=0 , 2bx^(2)+cx+a=0 and cx^(2)+ax+2b=0 respectively where a , b , c are positive real numbers, then alpha+alpha^(2) is equal to