A variable plane which remains at a cons...

A variable plane which remains at a constant distance 3p from the origin cuts the coordinate axes at A,B,C. show that the locus of the centroid of `DeltaABC` is `(1)/(x^(2))+(1)/(y^(2))+(1)/(z^(2))=(1)/(p^(2))`.

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The correct Answer is:

`(1)/(p^(2))`

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