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Friday, 9 October

JEE Main Maths · Three Dimensional Geometry

Point of Intersection Calculation

Point of Intersection Calculation (Three Dimensional Geometry) was asked 3 times in 3 JEE Main shifts, 2024–2026, out of the 42 shifts Lumi analysed.

Times asked
3
in 3 shifts
Years
2024–2026
Usual format
Single correct
Multi-step
Pattern
New since 2024
repeats across shifts

How it is asked

  • Parameters from intersection of lines on coordinate plane
  • Area of triangle from intersecting lines

Difficulty

Easy 0Medium 3Hard 0

Where it sits

Chapter: Three Dimensional Geometry. Topic: Lines in 3D, 39 questions over 14 ideas.

Other repeat ideas in this topic

Every time it came

All 3 questions

Newest first, each with its options and official answer.

  1. 2 Apr 2026, Shift 1 · Q13If the point of intersection of the lines x+13=y+a5=z+b+17\frac{x+1}{3}=\frac{y+a}{5}=\frac{z+b+1}{7} and x−21=y−b4=z−2a7\frac{x-2}{1}=\frac{y-b}{4}=\frac{z-2a}{7}…MediumSingle correct
  2. 4 Apr 2025, Shift 2 · Q15Let A be the point of intersection of the lines L1:x−71=y−50=z−3−1L_1:\frac{x-7}{1}=\frac{y-5}{0}=\frac{z-3}{-1} and…MediumSingle correct
  3. 29 Jan 2024, Shift 1 · Q16Let PQR be a triangle with R(−1,4,2)R(-1,4,2). Suppose M(2,1,2)M(2,1,2) is the mid point of PQ. The distance of the centroid of ΔPQR\Delta PQR from the…MediumSingle correct