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Q.

 Let α and β be the roots of x2-3x+p=0,γ and δ be the roots of x2-6x+q=0 . If α,β,γ,δ

 form a geometric progression. Then ratio (2q+p):(2q-p) is: 

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a

3 : 1 

b

5 : 3

c

9 : 7

d

33 : 31

answer is D.

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Detailed Solution

x2-3x+p=0αβ=αr;x2-6x+q=0γ=αr2δ=αr3α+αr=3α(α+αr)=6r2=2r=±22q+p2q-p=2α2r5+α2r2α2r5-α2r=2r4+12r7-1=97

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