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Let \( \alpha \) and \( \beta \) be the roots of \( x^{2}-3 x+p=0 \) and \( \gamma \) and \( \delta \) be the roots of \…

Q1

Let \( \alpha \) and \( \beta \) be the roots of \( x^{2}-3 x+p=0 \) and \( \gamma \) and \( \delta \) be the roots of \( x^{2}-6 x+q=0 \). If \( \alpha, \beta, \gamma, \delta \) form a geometric progression. Then ratio \( (2 q+p):(2 q-p) \) is:

[JEE Main 2020, 4 Sep (Shift 1)]

a

\( 3: 1 \)

b

\( 5: 3 \)

c

\( 9: 7 \)

d

\( 33: 31 \)

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