If α, β and γ are three consecutive terms of a non-constant GP such that the equations α x^2 + 2β x + γ = 0 and x^2 + x - 1 = 0 have a common root, then, α(β + γ) is equal to

If α, β and γ are three consecutive terms of a non-constant… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 12 Apr · Shift II

\alpha, \beta

and

\gamma

are three consecutive terms of a non-constant GP 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

Show answer

Correct option: D

[JEE Main 2019 · 12 Apr · Shift II]

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