Home
Class 12
MATHS
Let alpha,beta be the roots of x^2-4x+A=...

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:

Text Solution

Verified by Experts

`alpha+beta=4`
`alphabeta=A`
`r+gamma=36`
`rgamma=B`
`alpha=a,beta=ar,r=ar^2,gamma=ar^3`
`a+ar=4`
`a(1+r)=4`
`ar^2+ar^3=36`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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)-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 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 value sof p and q respectively, are :