Home
Class 12
MATHS
Let alpha, beta be the roots of x^2-x+p...

Let `alpha, beta ` be the roots of `x^2-x+p=0 and gamma, delta ` be the roots of `x^2-4x+q=0` such that `alpha, beta, gamma, delta` are in G.P. and `pge2. If a,b,c epsilon {1,2,3,4,5},` let the number of equation of the form `ax^2+bx+c=0` which have real roots be r, then the minium value of p q r =

Promotional Banner

Similar Questions

Explore conceptually related problems

Let alpha,beta be the roots of ax^(2)+bx+c=0 and gamma,delta be the roots of px^(2)+qr+r=0. If alpha,beta,gamma,delta are in H.P.then :

Let alpha, beta be the roots of x^(2)-x+p=0and gamma,delta"be the roots of "x^(2)-4x+q=0. If alpha, beta, gamma,delta are in G.P. then integral values of p,q, are respectively.

let alpha,beta be the roots of x^(2)-x+p=0 and gamma,delta be the roots of x^(2)-4x+q=0 .if alpha,beta,gamma,delta are in G.P. then the integral values of p&q respectively,are

Let alpha, beta " the roots of " x^(2) -4x + A =0 and gamma, delta " be the roots of " x^(2) -36x +B =0. " If " alpha, beta , gamma, delta forms an increasing G.P. Then

If alpha and beta are roots of x^2-3x+p=0 and gamma and delta are the roots of x^2-6x+q=0 and alpha,beta,gamma,delta are in G.P. then find the ratio of (2p+q):(2p-q)

Let alpha,beta be the roots of x^(2)-4x+A=0 and gamma,delta be the roots of x^(2)-36x+B=0 .If alpha,beta,gamma,delta form an increasing G.P.and A^(t)=B then value of 't' equals: