JEE Main 2022 Mathematics question

If (2, 3, 9), (5, 2, 1), (1, , 8) and (, 2, 3) are coplanar, then the product of all possible values of is:

Answer: (4)

Solution

Let A(2, 3, 9), B(5, 2, 1), C(1, , 8), , 2, 3). Coplanarity needs : |3 −1 −8;

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Question ID VK-035060