A variable plane at a distance of 1 unit form the origin cuts the coordinate axes at A, B and C. if the centroid \[D(x,y,z)\] of triangle ABC satisfies the relation \[\frac{1}{{{x}^{2}}}+\frac{1}{{{y}^{2}}}+\frac{1}{{{z}^{2}}}=k\], then the value of k is

A variable plane at a distance of 1 unit form the origin cuts the coor

1.	A variable plane at a distance of 1 unit form the origin cuts the coordinate axes at A, B and C. if the centroid \[D(x,y,z)\] of triangle ABC satisfies the relation \[\frac{1}{{{x}^{2}}}+\frac{1}{{{y}^{2}}}+\frac{1}{{{z}^{2}}}=k\], then the value of k is
A.	3
B.	1
C.	44256
D.	9
Answer» E.

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A variable plane at a distance of 1 unit form the origin cuts the coordinate axes at A, B and C. if the centroid \[D(x,y,z)\] of triangle ABC satisfies the relation \[\frac{1}{{{x}^{2}}}+\frac{1}{{{y}^{2}}}+\frac{1}{{{z}^{2}}}=k\], then the value of k is

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