If \\alpha,\\beta and \\gamma are three consecutive terms of a non-constant G.P. such that the equations \\alpha x^{2}+2 \\beta x+\\gamma=0 and x^{2}+x-1=0 have a common root, then \\alpha(\\beta+\\gamma) is equal to [12 Apr 2019 Shift 2]

Quadratic Equation and Inequalities Part 1

Section: Mathematics

Question : 43 of 100

Marks: +1, -0

If α,β and γ are three consecutive terms of a non-constant G.P. such that the equations αx2+2βx+γ=0 and x2+x−1=0 have a common root, then α(β+γ) is equal to

[12 Apr 2019 Shift 2]

βγ
αγ
0
αβ

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