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Saturday, 31 October

JEE Main · Maths · Straight Lines

Angle Bisector Locus via Distances

JEE Main asked Angle Bisector Locus via Distances 3 times in 3 of the 108 shifts Lumi analysed, in 2021, 2023 and 2024. It belongs to Straight Line Distance, in Straight Lines (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
3 of 8
First asked
2021
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2023 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.03’210’220.07’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 1 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20250 of 8
  • 20241 of 18
  • 20231 of 12
  • 20220 of 24
  • 20211 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

  • Locus equidistant from two lines
  • Find line given angle bisector

Difficulty

Easy 0Medium 1Hard 2

1 of the 3 questions had a numerical answer.

Every question

All 3 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 30 Jan 2024, Shift 2 · Q16If x2−y2+2hxy+2gx+2fy+c=0x^2 - y^2 + 2hxy + 2gx + 2fy + c = 0 is the locus of a point, which moves such that it is always equidistant from the lines…MediumSingle correct
  2. 11 Apr 2023, Shift 2 · Q26If the line l1:3y−2x=3l_1 : 3y - 2x = 3 is the angular bisector of the lines l2:x−y+1=0l_2 : x - y + 1 = 0 and l3:αx+βy+17=0l_3 : \alpha x + \beta y + 17 = 0, then…HardNumerical value
  3. 26 Aug 2021, Shift 1 · Q72Let ABC be a triangle with A (−3,1)(-3, 1) and ∠ACB=θ\angle ACB = \theta, 0<θ<π20 < \theta < \frac{\pi}{2}. If the equation of the median through B is…HardSingle correct

Shifts: 26 Aug 2021, Shift 1, 11 Apr 2023, Shift 2, 30 Jan 2024, Shift 2.

Same topic

Other ideas in Straight Line Distance

Straight Line Distance has 23 ideas JEE Main has asked; 16 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas