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

Mathematics3D-Coordinate GeometryPlaneMedium2 minQB

MathematicsMediumsingle choice

The volume of the tetrahedron included between the plane $3 x + 4 y - 5 z - 60 = 0$ and the coordinate planes is

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Answer:

Solution:

The plane is $\frac{x}{20} + \frac{y}{15} + \frac{z}{- 12} = 1$ . It meets the axes at $A (20, 0, 0), B (0, 15, 0), C (0, 0, - 12)$ . Volume of tetrahedron OABC $= \frac{1}{6} \times 20 \times 15 \times (- 12) = 600$ .

Stream:JEESubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Plane

⏱ 2mℹ️ Source: QB

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