Home
Class 11
MATHS
If alpha,beta are the roots of x^2-p x+q...

If `alpha,beta` are the roots of `x^2-p x+q=0a n dalpha^(prime),beta'` are the roots of `x^2-p^(prime)x+q^(prime)=0,` then the value of `(alpha-alpha^(prime))^2+(beta-alpha^(prime))^2+(alpha-beta^(prime))^2+(beta-beta^(prime))^2` is `2{p^2-2q+p^('2)-2q^(prime)-p p '}` `2{p^2-2q+p^('2)-2q^(prime)-q q '}` `2{p^2-2q-p^('2)-2q^(prime)-p p '}` `2{p^2-2q-p^('2)-2q^(prime)-q q '}`

Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha,beta are roots of x^(2)-px+q=0 and alpha-2,beta+2 are roots of x^(2)-px+r=0 then prove that 16q+(r+4-q)^(2)=4p^(2)

If alpha and beta are roots of x^(2)+21x+4=0 and (sqrt(alpha))/(beta),(sqrt(beta))/(alpha), are roots of px^(2)+qx+2=0 then value of alpha(26p+q)

if alpha and beta are the roots of the equation p(x^(2)+n^(2))+pnx+qn^(2)x^(2)=0 then the value of p(alpha^(2)+beta^(2))+p alpha beta+q alpha^(2)beta^(2) is

If alpha and beta are the roots of the equation x^(2)-p(x+1)-q=0 then the value of (alpha^(2)+2 alpha+1)/(alpha^(2)+2 alpha+q)+(beta^(2)+2 beta+1)/(beta^(2)+2 beta+q) is (A)1(B)2 (C) 3(D)0

If alpha,beta are roots of the equation (3x+2)^(2)+p(3x+2)+q=0 then roots of x^(2)+px+q=0 are

If alpha,beta are the roots of the equations x^(2)-2x+3=0 then find the numerical value of P and Q

If alpha, beta are the roots of the equations x^2+px+q=0 then one of the roots of the equation qx^2-(p^2-2q)x+q=0 is (A) 0 (B) 1 (C) alpha/beta (D) alpha beta