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Friday, 9 October

JEE Main 2025 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 3 April 2025, Shift 1, Maths Q15

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

Let a line passing through the point (4,1,0)(4, 1, 0) intersect the line L1:x−12=y−23=z−34\mathrm{L}_1 : \frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4} at the point A(α,β,γ)A(\alpha, \beta, \gamma) and the line L2:x−6=y=−z+4\mathrm{L}_2 : x - 6 = y = -z + 4 at the point B(a,b,c)B(a, b, c). Then ∣101αβγabc∣\begin{vmatrix} 1 & 0 & 1 \\ \alpha & \beta & \gamma \\ a & b & c \end{vmatrix} is equal to
  1. (1)8Official answer
  2. (2)6
  3. (3)12
  4. (4)16

Official answer

Option 1

NTA final key.

Chapter
Three Dimensional Geometry
Topic
Lines in 3D
Idea tested
Line Through Point Intersecting Two Skew Lines

Same idea in other shifts

Asked 2× in all
  1. 30 Jan 2024, Shift 2 · Q29Let a line passing through the point (−1,2,3)(-1, 2, 3) intersect the lines L1:x−13=y−22=z+1−2L_1: \frac{x-1}{3} = \frac{y-2}{2} = \frac{z+1}{-2} at…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.