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Mathematics · 2025

JEE Main · 2 April 2025, Shift 1 · Q5

Let A B C D be a tetrahedron such that the edges A B, A C and A D are mutually perpendicular. Let the areas of the triangles ABC, ACD and ADB be 5, 6…

Let $\displaystyle A B C D$ be a tetrahedron such that the edges $\displaystyle A B, A C$ and $\displaystyle A D$ are mutually perpendicular. Let the areas of the triangles $\displaystyle \mathrm{ABC}, \mathrm{ACD}$ and ADB be $\displaystyle 5$, $\displaystyle 6$ and $\displaystyle 7$ square units respectively. Then the area (in square units) of the $\displaystyle \Delta \mathrm{BCD}$ is equal to :
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.