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JEE Main 2024 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2024

Let PQR be a triangle with R(–1, 4, 2). Suppose M (2, 1, 2) is the mid-point of PQ. The distance of the centroid of ΔPQR from the point of intersection of the lines and is-

Answer: (A)

Solution

The point of intersection of the two lines is found from (2, 2λ, −λ − 3) = (μ + 1, −3μ − 3, μ − 1): μ = 1, λ = −3, giving (2, −6, 0). The

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Question ID VK-016899