Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

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

The four lines drawn from the vertices of any tetrahedron to the centroid of the opposite faces meet in a point whose distance from each vertex is times the distance from each vertex to the opposite face, where is

Options:

Answer:
C
Solution:

Let be the vertices of the tetrahedron. If E is the centroid of face BCD and G is the centroid of ABCD, then . So .

Stream:JEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Coordinates of a point in space, Direction cosines,
⏱ 2mℹ️ Source: QB

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