if `alpha , beta ` be roots of `x^2-3x+a=0` and `gamma , delta ` are roots of `x^2-12x+b=0` and `alpha,beta,gamma,delta`(in order) form a increasing GP then find the value of `a & b`

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:

If alpha , beta are the roots of x^2 - 3x +a =0 and gamma , delta are the roots of x^2 -12 x+b=0 and alpha , beta , gamma , delta in that order from a geometric progression increasing order with common ration r gt 1 then a+b=

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

Suppose alpha, beta are roots of ax^(2)+bx+c=0 and gamma, delta are roots of Ax^(2)+Bx+C=0 . If alpha,beta,gamma,delta are in GP, then common ratio of GP is

Suppose alpha, beta are roots of ax^(2)+bx+c=0 and gamma, delta are roots of Ax^(2)+Bx+C=0 . If alpha,beta,gamma,delta are in AP, then common difference of AP is

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 =

If alpha , beta are the roots of x^2+ax -b=0 and gamma , sigma are the roots of x^2 + ax +b=0 then (alpha - gamma )(beta - gamma )( alpha - sigma )( beta - sigma )=

Suppose alpha, beta are roots of ax^(2)+bx+c=0 and gamma, delta are roots of Ax^(2)+Bx+C=0 . If a,b,c are in GP as well as alpha,beta, gamma, delta , then A,B,C are in:

Let alpha and beta be roots of the equation X^(2)-2x+A=0 and let gamma and delta be the roots of the equation X^(2)-18x+B=0 . If alpha lt beta lt gamma lt delta are in arithmetic progression then find the valus of A and B.

If alpha , beta, gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to