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If a sphere of constant radius k passes through the origin and meets the axis in A,B,C then the centroid of the triangle ABC lies on :

A

`x^2 + y^2 + z^2 = k^2`

B

`x^2 + y^2 + z^2 = 4k^2`

C

`9x^2 + y^2+ z^2 = 4k^2`

D

`9x^2 + y^2 + z^2 = k^2`

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