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If `A(alpha, (1)/(alpha)), B(beta, (1)/(beta)), C(gamma,(1)/(gamma))` be the vertices of a `Delta ABC`, where `alpha, beta` are the roots of `x^(2)-6ax+2=0, beta, gamma` are the roots of `x^(2)-6bx+3=0` and `gamma, alpha` are the roots of `x^(2)-6cx + 6 =0`, a, b, c being positive.
The coordinates of centroid of `Delta ABC` is

A

`(1,(11)/(9))`

B

`((1)/(3),(11)/(18))`

C

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

D

`((2)/(3),(11)/(19))`

Text Solution

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The correct Answer is:
C
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