MCQMediumJEE Main 2025 · 2 April, Shift 2Skew Lines & Shortest Distance

Mathematics Question from JEE Main 2025 · 2 April, Shift 2

The line L1L_1 is parallel to the vector a=3i^+2j^+4k^\mathbf{a} = -3\hat{i} + 2\hat{j} + 4\hat{k} and passes through the point (7,6,2)(7, 6, 2), and the line L2L_2 is parallel to the vector b=2i^+j^+3k^\mathbf{b} = 2\hat{i} + \hat{j} + 3\hat{k} and passes through the point (5,3,4)(5, 3, 4). The shortest distance between the lines L1L_1 and L2L_2 is:

  • A

    2338\frac{23}{\sqrt{38}}

  • B

    2157\frac{21}{\sqrt{57}}

  • C

    2357\frac{23}{\sqrt{57}}

  • D

    2138\frac{21}{\sqrt{38}}

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