If α, β and γ are three consecutive... | Sequences Series

JEE MAIN 2019

12-04-2019 S2

Question

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 :

Select the correct option:

$\alpha \gamma$

$\beta \gamma$

$\alpha \beta$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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