JEE Main 2022 Mathematics question

Let Q be the foot of perpendicular drawn from the point P(1, 2, 3) to the plane x + 2y + z = 14. If R is a point on the plane such that , then the area is equal to:

(1)
(2)Correct
(3)
(4)3

Answer: (2)

Solution

The length of the perpendicular is PQ = |1 + . In the right triangle PQR (right angle at Q) with ,

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Question ID VK-035059