Let alpha,beta be the roots of the equat...

Let `alpha,beta` be the roots of the equation `x^2-p x+r=0` and `alpha/2,2beta` be the roots of the equation `x^2-q x+r=0` , the value of `r` is (2007, 3M) `2/9(p-q)(2q-p)` (b) `2/9(q-p(2p-q)` `2/9(q-2p)(2q-p)` (d) `2/9(2p-q)(2q-p)`

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

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

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

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

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Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha/2,2 beta be the roots of the equation x^(2)-qx+r=0. Then the value of r is (2)/(9)(p-q)(2q-p) b.(2)/(9)(q-p)(2q-p) c.(2)/(9)(q-2p)(2q-p) d.(2)/(9)(2p-q)(2q-p)

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