Let `alphaa n dbeta` be the roots of `x^2-x+p=0a n dgammaa n ddelta` be the root of `x^2-4x+q=0.` If `alpha,beta,a n dgamma,delta` are in G.P., then the integral values of `pa n dq` , respectively, are `-2,-32` b. `-2,3` c. `-6,3` d. `-6,-32`

Let alpha,beta be the roots of x^2-x+p=0a n dgamma,delta are roots of x^2-4x+q=0. If alpha,beta,gamma,delta are in G.P., then the integral value of pa n dq , respectively, are -2,-32 b. -2,3 c. -6,3 d. -6,-32

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:

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 , 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_1,beta_1 be the roots x^2-6x+p=0a n d alpha_2,beta_2 be the roots x^2-54 x+q=0dot If alpha_1,beta_1,alpha_2,beta_2 form an increasing G.P., then sum of the digits of the value of (q-p) is ___________.

Let alpha_1,beta_1 be the roots x^2-6x+p=0a n d alpha_2,beta_2 be the roots x^2-54 x+q=0dot If alpha_1,beta_1,alpha_2,beta_2 form an increasing G.P., then sum of the digits of the value of (q-p) 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 a, b are the roots of equation x^(2)-3x + p =0 and c, d are the roots of x^(2) - 12x + q = 0 and a, b, c, d are in G.P., then prove that : p : q =1 : 16

If alpha,betaa n dgamma are the roots of x^3+8=0 then find the equation whose roots are alpha^2,beta^2a n dgamma^2 .

Let alpha and beta be the roots of x^2-6x-2=0 with alpha>beta if a_n=alpha^n-beta^n for n>=1 then the value of (a_10 - 2a_8)/(2a_9)