MCQMediumJEE Main 2023 · 30 January, Shift 1Skew Lines & Shortest Distance

Mathematics Question from JEE Main 2023 · 30 January, Shift 1

The line 1\ell_1 passes through the point (2,6,2)\left(2, 6, 2\right) and is perpendicular to the plane 2x+y2z=102x + y - 2z = 10. Then the shortest distance between the line 1\ell_1 and the line

x+12=y+43=z2\frac{x+1}{2} = \frac{y+4}{-3} = \frac{z}{2}

is:

  • A

    77

  • B

    193\frac{19}{3}

  • C

    192\frac{19}{2}

  • D

    99

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