Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

Mathematics3D-Coordinate GeometryMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

In tetrahedron $PQRS, PQ = 4$ . Plane $P_{1}$ is perpendicular to $PQ$ . The feet from $P, R, S$ to $P_{1}$ are $P^{'}, R^{'}, S^{'}$ , and area $[P^{'} R^{'} S^{'}] = 15$ .

Find the volume of tetrahedron $PQRS$ .

Options:

Answer:

Solution:

Choose $P = (0, 0, 0), Q = (0, 0, 4), R = (0, b, c), S = (p, q, r)$ . The projected area gives $b p = 30$ and volume $= \frac{1}{6} (4) b p = 20$ .

Stream:JEESubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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