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A variable plane is at a distance k from...

A variable plane is at a distance `k` from the origin and meets the coordinates axes is A,B,C. Then the locus of the centroid of `DeltaABC` 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

Verified by Experts

The correct Answer is:
(d)
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