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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoordinates of a point in space, Direction cosines,Medium2 minQB

MathematicsMediumsingle choice

In a three dimensional co-ordinate system P, Q and R are images of a point $A (a, b, c)$ in the $x y, yz$ 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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Answer:

Solution:

P, Q, R are $(a, b, - c), (- a, b, c)$ and $(a, - b, c)$ respectively. So the centroid of triangle PQR is $G (\frac{a}{3}, \frac{b}{3}, \frac{c}{3})$ . Hence A, O, G are collinear and the area of triangle AOG is zero.

Stream:JEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Coordinates of a point in space, Direction cosines,

⏱ 2mℹ️ Source: QB

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