`alpha^2+beta^2`

If alpha , beta are the roots of ax^2 + bx + c=0 then alpha beta ^(2) + alpha ^2 beta + alpha beta =

If alpha,beta are the roots of ax^(2)+bx+c-0 then alpha beta^(2)+alpha^(2)beta+alpha beta=

If alpha & beta are any two complex numbers, prove that |alpha+beta|^2+|alpha-beta|^2=2(|alpha|^2+|beta|^2)

If alpha,beta are complex number such that | alpha+beta|^(2)=| alpha|^(2)+| beta|^(2)+2k then k=

The value of sin^2 alpha cos^2 beta + cos^2 alpha sin^2 beta + sin^2 alpha sin^2 beta +cos^2 alpha cos^2 beta is

Prove that: cos2 alpha cos2 beta+sin^(2)(alpha-beta)-sin^(2)(alpha+beta)=cos2(alpha+beta)

(alpha + beta)^(2) - 2 alpha beta =

If the function f:[0,8]rarr R is differentiable then for 0

If alpha1=beta but alpha^(2)=2 alpha-3;beta^(2)=2 beta-3 then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) is

If the sides of two sides of a right angled triangle are (cos2 alpha+cos2 beta+2cos(alpha+beta)) and (sin2 alpha+sin2 beta+2sin(alpha+beta)) then find the hypotenuse