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If a variable plane, at a distance of 3 ...

If a variable plane, at a distance of 3 units from the origin, intersects the coordinate axes at A,B anc C, then the locus of the centroid of `Delta ABC` is :

A

`(1)/(x^(2))+(1)/(y^(2))+(1)/(z^(2))=1`

B

`(1)/(x^(2))+(1)/(y^(2))+(1)/(z^(2))=3`

C

`(1)/(x^(2))+(1)/(y^(2))+(1)/(z^(2))=(1)/(9)`

D

`(1)/(x^(2))+(1)/(y^(2))+(1)/(z^(2))=9`

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The correct Answer is:
A
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