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If alpha,beta roots of x^(2)-6p(1)x+2=0,...

If `alpha,beta` roots of `x^(2)-6p_(1)x+2=0,beta,gamma` are roots of `x^(2)-6p_(2)x+3=0and gamma,alpha` are roots of equation `x^(2)-6p_(3)x+6=0` where `p_(1),p_(2),p_(3)` are positive then
If `A(alpha,(1)/(alpha)),B(beta,(1)/(beta)),C(gamma,(1)/(gamma))` be vertices of `DeltaABC` then centroid of `DeltaABC` is

A

`(4,(11)/(18))`

B

`(2,(11)/(18))`

C

`(-2(11)/(18))`

D

`(-4(11)/(18))`

Text Solution

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The correct Answer is:
B
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