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MathsJEE Main 6 Apr 2026, Shift 1·Q16·MCQ·Easy–moderate

3D Geometry · Angle between two lines

Let a line LL be perpendicular to both the lines L1:x+13=y+35=z+57andL2:x−21=y−44=z−67.L_1 : \dfrac{x + 1}{3} = \dfrac{y + 3}{5} = \dfrac{z + 5}{7} \quad\text{and}\quad L_2 : \dfrac{x - 2}{1} = \dfrac{y - 4}{4} = \dfrac{z - 6}{7}. If θ\theta is the acute angle between the lines LL and L3:x−872=y−471=z2,L_3 : \dfrac{x - \frac87}{2} = \dfrac{y - \frac47}{1} = \dfrac{z}{2}, then tan⁡θ\tan\theta is equal to:
  1. (1)322\dfrac32\sqrt2
  2. (2)522\dfrac52\sqrt2
  3. (3)532\dfrac53\sqrt2
  4. (4)432\dfrac43\sqrt2

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See the full 6 Apr 2026, Shift 1 paper