`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

Options

A. `2/9(2p-q)(2q-p)`
B. `2/9(2p+q)(2q+p)`
C. `2/9(2p+q)(2q-p)`
D. `2/3(2p-q)(2q-p)`

Answer

A