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Friday, 9 October

JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 3 August 2021, Shift 2, Maths Q76

Question 76 of 90 in this shift, Maths question 16 of 30, Section A.

Let 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) respectively, where 1l,1m\frac{1}{l}, \frac{1}{m} and 1n\frac{1}{n} are the atha^{\mathrm{th}}, bthb^{\mathrm{th}} and cthc^{\mathrm{th}} terms of an Arithmetic Progression. If L1L_1 and L2L_2 intersect at the origin, then an angle between them is
  1. (1)π3\frac{\pi}{3}
  2. (2)π2\frac{\pi}{2}Official answer
  3. (3)π4\frac{\pi}{4}
  4. (4)π6\frac{\pi}{6}

Official answer

Option 2

NTA final key.

Same topic in other shifts

All Angle Between Lines questions
  1. 6 Apr 2026, Shift 1 · Q16Let 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…MediumSingle 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.