The foot of perpendicular from the origin \(O\) to a plane \(P\) which meets the co-ordinate axes at the points \(A, B, C\) is \((2, a, 4), a \in N\). If the volume of the tetrahedron \(O A B C\) is \(144\) unit\(^3\), then which of the following points is NOT on \(P\) ?

[JEE Main 2023, 31 Jan (Shift 2)]

Question

The foot of perpendicular from the origin \(O\) to a plane \(P\) which meets the co-ordinate axes at the points \(A, B, C\) is \((2, a, 4), a \in N\). If the volume of the tetrahedron \(O A B C\) is \(144\) unit\(^3\), then which of the following points is NOT on \(P\) ?

[JEE Main 2023, 31 Jan (Shift 2)]

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