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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=3xy`

B

`alphax+betay=3xy`

C

`alphax-betay=3xy`

D

`betax-alphay=3xy`

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The correct Answer is:
A
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