Q. 29 B4.3( 6 Votes )

A variable plane

Answer :

Intercept form of plane is



Now distance of plane (1) from (0,0,0) is-





squaring both sides-



Now for the locus of the centroid we must have


x = (a/3), y = (b/3) & z = (c/3)


a = 3x, b = 3y & c = 3z


equation (2) becomes






Hence Proved.


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