A variable plane which remains at a constant distance `3p` from the origin, cuts the coordinate axes at points `A, B, C`

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Q 1227112081.     A variable plane which remains at a constant distance `3p` from the origin, cuts the coordinate axes at points `A, B, C`. Locus of the centroid of `ΔABC` is
A

`x^(-2) + y^(-2) + z^(-2) = 3p^(-2)`

B

`x^(-1) + y^(-1) + z^(-1) = p^(-1)`

C

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

D

`x^(-1) + y^(-1) + z^(-1) = 3p^(-1)`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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