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A variable plane is at a constant distan...

A variable plane is at a constant distance k from the origin and meets the coordinate axes at A, B, C. Then the locus of the centroid of the triangle ABC is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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