JEE Main 2024 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2024

The lines and intersect at the point P. If the distance of P from the line is ℓ, then 14ℓ² is equal to .

Answer: 108

Solution

Equating (2λ + 2, −2λ, 16λ + 7) with (4t − 3, 3t − 2, t − 2) gives λ = −1/2, t = 1, so P = (1, 1, −1). With A(−1, 1, 1) on the third line, AP = (2, 0, −2),

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Question ID VK-016650