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

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a2+b2+c2

23a2+b2+c2

2a2+b2+c2

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detailed solution

Correct option is A

P=a,b,0, Q=0,b,c and R=a,0,c ⇒G=2a3,2b3,2c3=23a,b,c ⇒O,G,A are collinear. ⇒area of triangle AOG=0

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

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Ready to Test Your Skills?

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