.. A variable plane which remains at a constant distance 3p from the origin, cuts the
coordinate axes at A,B,C. Find the locus of centroid of the triangle.
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A variable plane which remains at a constant distance 3p from the origin cuts the coordinate axes at A, B, C. Show that the locus of the centroid of triangle ABC is 1x2+1y2+1z2=1p2.
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