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`alpha,beta` be the roots of the equation `x^2-px+r=0` and `alpha/2 , 2beta` be the roots of the equation `x^2-qx+r=0` then value of `r` is

A

`(2)/(9) (p -q) (2q - p)`

B

`(2)/(9) (q-p) (2p-q)`

C

`(2)/(9) (q - 2p) (2 q - p)`

D

`(2)/(9) (2 p - q) (2 q - p)`

Text Solution

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The correct Answer is:
D
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