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A variable plane at a distance of 1 unit...

A variable plane at a distance of 1 unit from the origin cuts the axes at A, B and C. If the centroid `D(x, y, z)` of `triangleABC` satisfies the relation `(1)/(x^2)+(1)/(y^2)+(1)/(z^2)=K,` then the value of K is

A

`3`

B

`1`

C

`(1)/(3)`

D

`9`

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The correct Answer is:
(d)
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