JEE Main 2024 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2024

Let (α, β, γ) be the image of the point (8, 5, 7) in the line . Then α + β + γ is equal to

Answer: (C)

Solution

A point on the line is (1 + 2t, −1 + 3t, 2 + 5t). The foot F of the perpendicular from (8, 5, 7) satisfies (F − P)·(2, 3, 5) = 0, i.e. 2(2t

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Question ID VK-011646