MCQMediumJEE Main 2025 · 2 April, Shift 1Cross Product

Mathematics Question from JEE Main 2025 · 2 April, Shift 1

Let ABCD be a tetrahedron such that the edges ABAB, ACAC and ADAD are mutually perpendicular. Let the areas of the triangles ABCABC, ACDACD and ADBADB be 55, 66 and 77 square units respectively. Then the area (in square units) of the triangle BCDBCD is equal to:

  • A

    737\sqrt{3}

  • B

    1212

  • C

    110\sqrt{110}

  • D

    340\sqrt{340}

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