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

A variable plane at distance of 1 unit from the origin cuts the coordinte axes at A,B and C. If the centroid `D(x,y,z)` of triangle ABC 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

A

9

B

3

C

1

D

`1//3`

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