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A variable plane is at a constant distan...

A variable plane is at a constant distance p from the origin and meets the axes in A, B and C. The locus of the centroid of the triangle ABC is

A

`x ^(2) + y ^(2) + z^(-2) = p ^(-2)`

B

`x ^(2) + y ^(2) + z ^(-2) = 4p ^(-2)`

C

`x ^(-2) + y ^(-2) + z ^(-2) = 16 p ^(-2)`

D

`x %(2) + y ^(-2) + z ^(-2) = 9p ^(-2)`

Text Solution

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The correct Answer is:
D
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