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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPerpendicular distance of a point from a planeHard2 minQB

MathematicsHardnumerical

In tetrahedron $L MNO$ , edges $M L, MN, MO$ are mutually perpendicular. Altitudes from $O, L, N$ to their opposite faces are 1, 2 and 3 respectively. Find the altitude from $M$ to face $L NO$ .

Answer:

0.86

Solution:

With $M$ at the origin, a compatible face has equation $x + y /2 + z /3 = 1$ . Its distance from the origin is $6/7 \approx 0.86$ .

Stream:JEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Perpendicular distance of a point from a plane

⏱ 2mℹ️ Source: QB

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