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If alpha, beta are the roots of the equa...

If `alpha, beta` are the roots of the equation `x^(2)+px-r= 0 and (alpha)/(3), 3 beta`
are the roots of the equation `x^(2)+qx-r=0`, then r equals

A

`(3)/(8) (p-3q)(3p+q)`

B

`(3)/(8) (p+3q)(3p-q)`

C

`(3)/(64) (3p-q) (p-3q)`

D

`(3)/(64) (3q-p)(p-q)`

Text Solution

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The correct Answer is:
C
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