Home
Class 11
MATHS
If alpha, beta and gamma are three conse...

If `alpha, beta and gamma` are three consecutive terms of a non-constant G.P. such that the equations `ax^(2) + 2beta x + gamma = 0 and x^(2) + x - 1= 0` have a common root, then `alpha (beta + gamma)` is equal to

A

0

B

`alpha gamma`

C

`beta gamma`

D

`alpha beta `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha, beta and gamma are three consecutive terms of a non-constant G.P. such that the equations alphax^(2) + 2beta x + gamma = 0 and x^(2) + x - 1= 0 have a common root, then alpha (beta + gamma) is equal to

if alpha,beta,gamma are non-constant terms in G.P.and equations alpha x^(2)+2 beta x+gamma=0 and x^(2)+x-1=0 has a common root then (gamma-alpha)*beta is

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

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

If alpha, beta and gamma are the roots of the equation x^(3) + px + q = 0 (with p != 0 and p != 0 and q != 0 ), the value of the determinant |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| , is

If alpha, beta, gamma, are the roots of the equation x^(3)+3x-1=0, then equation whose roots are alpha^(2),beta^(2),gamma^(2) is

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