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Q.

In a three dimensional co-ordinate system P,Q and R are images of a point A(a,b,c) in the x y, y z , and z x planes, respectively. If G is the centroid of triangle PQR then area of triangle AOG is (O is the origin)

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a

0

b

a2+b2+c2

c

23a2+b2+c2

d

2a2+b2+c2

answer is A.

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Detailed Solution

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A = (a,b,c)P = (a,b,-c),Q = (-a,b,c)R = (a,-b,c)
Centroid of triangle PRQ is G=a3,b3,c3
A O G are collinear points

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