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MCQMediumJEE Main 2023 · 31 January, Shift 1Skew Lines & Shortest Distance

Mathematics Question from JEE Main 2023 · 31 January, Shift 1

Let the shortest distance between the lines L:x−52=y−λ0=z+1−1,λ≥0andL1:x+1=y−1=4−zL: \frac{x - 5}{2} = \frac{y - \lambda}{0} = \frac{z + 1}{-1}, \quad \lambda \geq 0 \quad \text{and} \quad L_1: x + 1 = y - 1 = 4 - z be 262\sqrt{6}. If (α,β,γ)(\alpha, \beta, \gamma) lies on LL, then which of the following is NOT possible?

  • A

    α+2γ=24\alpha + 2\gamma = 24

  • B

    2α+γ=72\alpha + \gamma = 7

  • C

    2α−γ=92\alpha - \gamma = 9

  • D

    α−2γ=19\alpha - 2\gamma = 19

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