find the intercept form of equation of plane which meets the co-ordinate axes in A,B,C such that the centroid of triangle ABC is the point (3,3,3)

Asked by meghna | 24th Jan, 2014, 10:32: PM

Expert Answer:

Le the equationof the required plane be
Then the coordinates of A,B and C are A(a,0,0), B(0,b,0) and C(o,o,c) respectively.
 
So, the centroid of the triangle is (a/3,b/3,c/3). But, the coordinates of the centroid are (3,3,3).
 
Therefore,
 
Substituting the values of a,b and c in the required equation, we have
 

Answered by Vimala Ramamurthy | 25th Jan, 2014, 09:49: AM

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