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Friday, 9 October

JEE Main 2025 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 8 April 2025, Shift 2, Maths Q15

Question 15 of 75 in this shift, Maths question 15 of 25, Section A.

Let the values of λ\lambda for which the shortest distance between the lines x−12=y−23=z−34\frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4} and x−λ3=y−44=z−55\frac{x-\lambda}{3} = \frac{y-4}{4} = \frac{z-5}{5} is 16\frac{1}{\sqrt{6}} be λ1\lambda_1 and λ2\lambda_2. Then the radius of the circle passing through the points (0,0)(0, 0), (λ1,λ2)(\lambda_1, \lambda_2) and (λ2,λ1)(\lambda_2, \lambda_1) is
  1. (1)4
  2. (2)23\frac{\sqrt{2}}{3}
  3. (3)3
  4. (4)523\frac{5\sqrt{2}}{3}Official answer

Official answer

Option 4

NTA final key.

Same idea in other shifts

Asked 2× in all
  1. 6 Apr 2024, Shift 2 · Q28If the shortest distance between the lines x−λ3=y−2−1=z−11\frac{x-\lambda}{3}=\frac{y-2}{-1}=\frac{z-1}{1} and…MediumNumerical value

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.