A plane which remains at a constant distance 3p from the origin cuts the co-ordinate axes at A, B and C. Show that the locus of the centroid of triangle ABC is x-2 + y-2 + z-2 = p-2.
Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM
Let a, b, c are the intercepts made by the plane with the co-ordinate axes, then the co-ordinates of A, B and C are (a, 0, 0), (0, b, 0) and (0, 0, c) respectively.
Answered by | 4th Jun, 2014, 03:23: PM
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