The foot of the perpendicular from a point on the circle x^ 2 + y^ 2 = 1, z = 0 to the plane 2x + 3y + z = 6 lies on which one of the following curves?

JEE Main 2022 Mathematics question

The foot of the perpendicular from a point on the circle , z = 0 to the plane 2x + 3y + z = 6 lies on which one of the following curves?

Answer: (B)

Let the point on the circle be (, , 0) and the foot of the perpendicular on the plane be (h, k, ). Then (say), so , , . Then \ell$ =

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Question ID VK-034791