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MCQMediumJEE Main 2026 · 23 January, Shift 1Direction Cosines & Ratios

Mathematics Question from JEE Main 2026 · 23 January, Shift 1

Let the direction cosines of two lines satisfy the equations : 4l+m−n=04l + m - n = 0 and 2mn+10nl+3lm=02mn + 10nl + 3lm = 0. Then the cosine of the acute angle between these lines is :

  • A

    10338\frac{10}{3\sqrt{38}}

  • B

    20338\frac{20}{3\sqrt{38}}

  • C

    10738\frac{10}{7\sqrt{38}}

  • D

    1038\frac{10}{\sqrt{38}}

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