Home
Class 11
MATHS
If alpha,beta are the roots of a x^2+b x...

If `alpha,beta` are the roots of `a x^2+b x+c=0,(a!=0)` and `alpha+delta,beta+delta` are the roots of `A x^2+B x+C=0,(A!=0)` for some constant `delta` then prove that `(b^2-4a c)/(a^2)=(B^2-4A C)/(A^2)`

Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha" and "beta are the roots of ax^(2)+bx+c=0 and alpha+k, beta+k are the roots of px^(2)+qx+r=0 , then (b^(2)-4ac)/(q^(2)-4pr)=

If alpha,beta are the roots of a x^2+b x+c=0a n dalpha+h ,beta+h are the roots of p x^2+q x+r=0then h= a. -1/2(a/b-p/q) b. (b/a-q/p) c. 1/2(b/a-q/p) d. none of these

If alpha" and "beta are the roots of x^(2)-ax+b^(2)=0 , then alpha^(2)+beta^(2) is equal to

If alpha and beta are the roots of x^(2)+6x-4=0 , find the value of (alpha-beta)^(2) .

If alpha and beta are the roots of x^(2)+6x-4=0 , find the values of (alpha-beta)^(2) .

If alpha and beta are the roots of 2x^(2) – 3x -4 = 0 find the value of 2 alpha^(2)+ beta^(2)

If alpha,beta are the nonzero roots of a x^2+b x+c=0 and alpha^2,beta^2 are the roots of a^2x^2+b^2x+c^2=0 , then a ,b ,c are in (A) G.P. (B) H.P. (C) A.P. (D) none of these

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot

If the roots of the equation x^(2)+2bx+c=0 are alpha" and "beta, " then "b^(2)-c =

If alpha and beta are the roots of the equation x^(2)-ax+b=0 ,find Q (a)(alpha)/(beta)+(beta)/(alpha)