MHT CET 2023 Mathematics question
A plane is parallel to two lines whose direction ratios are 2, 0,-2 and -2, 2, 0 and it contains the point (2, 2, 2). If it cuts so-ordinate axes at A, B, C then the volume of the tetrahedron OABC (in cubic units) is
Answer: (C)
Solution
The normal to the plane is perpendicular to both lines: . So the plane is ; through : . Intercepts: , , . Volume of
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