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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
The values of `p_(1),p_(2),p_(3)` respectively are

A

`1/2,2/3,5/6`

B

`1,2,5`

C

`6,1,4`

D

`2,3/2,6/5`

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The correct Answer is:
A
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