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A plane a constant distance p from the o...

A plane a constant distance p from the origin meets the coordinate axes in A, B, C. Locus of the centroid of the triangle ABC is

A

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

B

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

C

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

D

`(1)/(x^2)+(1)/(y^2)+(1)/(z^2)=(4)/(p^2)`

Text Solution

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The correct Answer is:
B
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