MHT CET 2022 Mathematics question

The co-ordinates of the foot of the perpendicular drawn form the origin to the plane 2x + 6y - 3z = 63 are

(A)(4, 2, -4)
(B)Correct
(C)
(D)

Answer: (B)

Solution

The normal to the plane is , so the perpendicular from the origin is along it: the foot is for some . It lies on the plane: . Foot \dfrac{18}{7}\dfrac{54}{7}$,

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Question ID VK-094019