If the points A(2-x,2,2), B(2,2-y,2), C(2,2,2-z) and D(1,1,1) are coplanar, then the locus of point P(x,y,z) is

MHT CET 2025 Mathematics question

If the points , , and are coplanar, then the locus of point is

Answer: (A)

Four points are coplanar iff have zero scalar triple product. , , . Subtracting the third row from the first two and expanding (or using

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Question ID VK-100783