Q.

The plane  ax+by+cz+(−3)=0 meet the co-ordinate axes in A,B,C. Then centroid of the triangle is

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a

(3a, 3b, 3c)

b

3a,3b,3c

c

a3,b3,c3

d

1a,1b,1c

answer is D.

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Detailed Solution

A plane meet co-ordinate axes at A3a,0,0 ,B0,3b,0, C0,0,3c∴Centroid G=1a,1b,1c
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The plane  ax+by+cz+(−3)=0 meet the co-ordinate axes in A,B,C. Then centroid of the triangle is