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A variable line passing through a fixed point `(alpha,beta)` intersects the coordinate axes at A and B. If O is the origin, then the locus of the centroid of the `DeltaOAB` is

A

`betax+alphay-2alphabeta=0`

B

`betax+alphay-3xy=0`

C

`alphax+betay-(alpha^(2)+beta^(2))=0`

D

`betax+alphay+3xy=0`

Text Solution

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The correct Answer is:
B
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