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Friday, 9 October

JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 6 April 2026, Shift 1, Maths Q16

Question 16 of 75 in this shift, Maths question 16 of 25, Section A.

Let a line L be perpendicular to both the lines L1:x+13=y+35=z+57\mathrm{L}_1:\frac{x+1}{3}=\frac{y+3}{5}=\frac{z+5}{7} and L2:x−21=y−44=z−67\mathrm{L}_2:\frac{x-2}{1}=\frac{y-4}{4}=\frac{z-6}{7}. If θ\theta is the acute angle between the lines L and L3:x−872=y−471=z2\mathrm{L}_3:\frac{x-\frac{8}{7}}{2}=\frac{y-\frac{4}{7}}{1}=\frac{z}{2}, then tan⁡θ\tan\theta is equal to:
  1. (1)322\frac{3}{2}\sqrt{2}
  2. (2)522\frac{5}{2}\sqrt{2}Official answer
  3. (3)532\frac{5}{3}\sqrt{2}
  4. (4)432\frac{4}{3}\sqrt{2}

Official answer

Option 2

NTA final key.

Same topic in other shifts

All Angle Between Lines questions
  1. 3 Aug 2021, Shift 2 · Q76Let L1L_1 and L2L_2 be two lines passing through the points P(b−c,c−a,a−b)P(b-c, c-a, a-b) and Q(1l,1m,1n)Q\left(\frac{1}{l}, \frac{1}{m}, \frac{1}{n}\right)…HardSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.