MCQMediumJEE Main 2023 · 31 January, Shift 2Equation of Plane

Mathematics Question from JEE Main 2023 · 31 January, Shift 2

The foot of perpendicular from the origin OO to a plane PP which meets the coordinate axes at the points A, B, C is (2,a,4)(2, a, 4), aNa \in \mathbb{N}. If the volume of the tetrahedron OABCOABC is 144unit3144 \, \text{unit}^3, then which of the following points is NOT on PP?

  • A

    (2,2,4)(2, 2, 4)

  • B

    (0,4,4)(0, 4, 4)

  • C

    (3,0,4)(3, 0, 4)

  • D

    (0,6,3)(0, 6, 3)

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