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MCQMediumJEE Main 2023 · 13 April, Shift 1Skew Lines & Shortest Distance

Mathematics Question from JEE Main 2023 · 13 April, Shift 1

The distance of the point (−1,2,3)(-1, 2, 3) from the plane r⋅(i^−2j^+3k^)=10\mathbf{r} \cdot \left(\hat{i} - 2\hat{j} + 3\hat{k}\right) = 10, measured parallel to the line of shortest distance between the lines r=(i^−j^)+λ(2i^+k^)\mathbf{r} = \left(\hat{i} - \hat{j}\right) + \lambda\left(2\hat{i} + \hat{k}\right) and r=(2i^−j^)+μ(i^−j^+k^)\mathbf{r} = \left(2\hat{i} - \hat{j}\right) + \mu\left(\hat{i} - \hat{j} + \hat{k}\right), is:

  • A

    252\sqrt{5}

  • B

    353\sqrt{5}

  • C

    363\sqrt{6}

  • D

    262\sqrt{6}

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