JEE 2025 Mathematics PYQ — Let ABCD be a tetrahedron such that the edges AB, AC and AD are m… | Mathem Solvex | Mathem Solvex
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JEE 2025 — Mathematics PYQ
JEE | Mathematics | 2025
Let ABCD be a tetrahedron such that the edges AB, AC and AD are mutually perpendicular. Let the areas of the triangles ABC, ACD and ADB be 5, 6 and 7 squareunits, respectively. Then the area (in square units) of the DBCD is equal to:
Choose the correct answer:
A.
340
B.
12
C.
110
Correct Answer:
110
Explanation
Edges AB,AC and AD are mutually perpendicular, ∴Ar(ΔABCD)=(Ar(ΔABC))2+(Ar(ΔACD))2+(Ar(ΔADB))2 =52+62+72 =110
Explanation
Edges AB,AC and AD are mutually perpendicular, ∴Ar(ΔABCD)=(Ar(ΔABC))2+(Ar(ΔACD))2+(Ar(ΔADB))2 =52+62+72 =110
