Line L_1 passes through the point (1,2,3) and is parallel to z-axis. Line L_2 passes through the point ( \lambda, 5,6 ) and is parallel to y-axis. Let for \lambda=\lambda_1, \lambda_2, \lambda_2< \lambda_1, the shortest distance between the two lines be 3 . Then the square of the distance of the point ( \lambda_1, \lambda_2, 7 ) from the line L_1 is [3 Apr 2025 Shift 1]

JEE Main 3 Apr 2025 Shift 1 Paper

Section: Mathematics

Question : 10 of 75

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Line L1 passes through the point (1,2,3) and is parallel to z-axis. Line L2 passes through the point ( λ,5,6 ) and is parallel to y-axis. Let for λ=λ1,λ2, λ2<λ1, the shortest distance between the two lines be 3 . Then the square of the distance of the point ( λ1,λ2,7 ) from the line L1 is

[3 Apr 2025 Shift 1]

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