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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

`(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)/(y ^(2)) = (4)/(p ^(2))`

Text Solution

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The correct Answer is:
B
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