MHT CET 2023 Mathematics question

The foot of the perpendicular drawn form the origin to the plane is (4, -2, 5), then the Cartesian equation of the plane is

(A)4x – 2y + 5z = 45Correct
(B)–4xy + 2y + 5z = 45
(C)4x – 2y + 5z + 45 = 0
(D)4x + 2y – 5z + 45 = 0

Answer: (A)

Solution

The perpendicular from the origin to the plane passes through the origin and the foot , so the vector is normal to the plane. The plane passes through the foot, so

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Question ID VK-094781