JEE Main 2026 Mathematics question

MathematicsVector AlgebraJEE Main 2026

Let the foot of perpendicular from the point (λ, 2, 3) on the line be the point (1, μ, 2). Then the distance between the lines and is equal to:

Answer: (C)

Solution

The foot (4+t, 9+2t, 5+t)=(1, μ, 2) gives t=−3, μ=3. Perpendicularity (λ−1, −1, 1)·(1,2,1)=0 gives λ=2. The two lines are

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Question ID VK-015724