Home
Class 12
MATHS
If beta + cos ^(2) alpha, beta + sin ^(2...

If `beta + cos ^(2) alpha, beta + sin ^(2) alha ` are the roots of `x ^(2) + 2 bx +c=0 and gamma + cos ^(4) alpha, gamma + sin ^(4) alpha ` are the roots of `x ^(2) + 2Bx+C=0,` then :

Text Solution

Verified by Experts

The correct Answer is:
c - C
Promotional Banner

Similar Questions

Explore conceptually related problems

If beta + cos ^(2) alpha, beta + sin ^(2) alpha are the roots of x ^(2) + 2 bx +c=0 and gamma + cos ^(4) alpha, gamma + sin ^(4) alpha are the roots of x ^(2) + 2Bx+C=0, then :

If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and alpha +h, beta + h are the roots of the equation Ax^(2) +2Bx + C=0 then

If alpha , beta are the roots of ax ^2 + bx +c=0 then alpha ^5 beta ^8 + alpha^8 beta ^5=

If A(alpha, (1)/(alpha)), B(beta, (1)/(beta)), C(gamma,(1)/(gamma)) be the vertices of a Delta ABC , where alpha, beta are the roots of x^(2)-6ax+2=0, beta, gamma are the roots of x^(2)-6bx+3=0 and gamma, alpha are the roots of x^(2)-6cx + 6 =0 , a, b, c being positive. The coordinates of orthocentre of Delta ABC is

If alpha, beta are the roots of a x^2 + bx + c = 0 and k in R then the condition so that alpha < k < beta is :

If alpha , beta , gamma are the roots of x^3 + 2x^2 + 3x +8=0 then ( alpha + beta ) ( beta + gamma) ( gamma + alpha ) =

If alpha, beta are the roots of x^(2) + bx + c = 0 and, alpha +h, beta+h are the roots of x^(2) + qx +r = 0 then h =

If alpha. beta are the roots of x^2 +bx+c=0 and alpha + h, beta + h are the roots of x^2 + qx +r=0 then 2h=

If alpha, beta are the roots of ax^2 + bx + c = 0, the equation whose roots are 2 + alpha, 2 + beta is

alpha,beta are the roots of ax^(2)+2bx+c=0 and alpha+delta,beta+delta are the roots of A x^(2)+2Bx+C=0 , then what is (b^(2)-ac)//(B^(2)-AC) equal to ?