Home
Class 12
MATHS
Let alpha,beta be the roots of the equat...

Let `alpha,beta` be the roots of the equation `x^2-4x+A=0` and `gamma,delta` be the roots of the equation `x^2-36x+B=0`. If `alpha,beta,gamma`and`delta` are In G.P. having positive common ratio, find the value of A and B.

Text Solution

Verified by Experts

The correct Answer is:
243
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Multiple Choice type question)|20 Videos
  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Very Short Answer type Question)|30 Videos
  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos
  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

Similar Questions

Explore conceptually related problems

Let alpha,beta be the roots of the equation x^2-3x+a=0 and gamma,delta the roots of the equation x^2-12x+b=0 . If alpha,beta,gamma and delta are in G.P. having positive common ratio, then find the values of a and b.

Let alpha,beta be the equation x^2-px+r=0 and alpha/2,2beta be the roots of the equation x^2-qx+r=0. Then, the value of r is

Let alpha,beta be the roots of the equation (x-a)(x-b)=c, c ≠ 0. Then the roots of the equation (x-alpha)(x-beta)+c =0 are :

IF alpha and beta be the roots of the equation x^2+px+q=0 show that alpha/beta is a root of the equation qx^2-(p^2-2q)x+q=0 .

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 are in GP , then the integer values of p and q respectively are:

Given that alpha,gamma are roots of the equation A x^2-4x+1=0,a n dbeta,delta the roots of the equation of B x^2-6x+1=0, such that alpha,beta,gamma,a n ddelta are in H.P., then a. A=3 b. A=4 B=2 d. B=8

If the roots of the equation x^2-px+q=0 be alpha,beta and the roots of the equation x^2-ax+b=0 be alpha,1/beta then prove that, bq(a-p)^2=(q-b)^2 .

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 alpha and betadot

If alpha and beta be the roots of the equation (x-a)(x-b)=c ( cne0 ),prove that a and b are the roots of the equation (x-alpha)(x-beta)+c=0 .

IF the roots of the equation 3x^2+8x+2=0 are alpha,beta then (1/alpha+1/beta) =