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MHT CET 2023 Mathematics question

MathematicsVector AlgebraMHT CET 2023

If the volume of tetrahedron, whose vertices are A(1, 2, 3), B (-3, -1, 1), C(2, 1, 3) and D(-1, 2, x) is cubic units, then the value of x is

Answer: (C)

Solution

Volume of a tetrahedron . , , . The determinant is

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Question ID VK-097333