MHT CET 2022 Mathematics question
A plane is parallel to two lines whose direction ratios are (1, 0, -1) and (-1, 1, 0) and it contains the point (1, 1, 1). If it cuts the co-ordinate axes at A, B, C, then the volume of the tetrahedron OABC is cu. Units.
Answer: (D)
Solution
The normal to the plane is perpendicular to both directions, so it is parallel to . The plane through is . Its intercepts are
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