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Saturday, 31 October

JEE Main · Maths · Conic Sections

Length of Common Chord via Radical Axis

JEE Main asked Length of Common Chord via Radical Axis 3 times in 3 of the 108 shifts Lumi analysed, in 2020, 2022 and 2024. It belongs to Power of a Point, in Conic Sections (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
2020
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2022 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200’210.04’220’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 0 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 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
  • 20230 of 12
  • 20221 of 24
  • 20210 of 24
  • 20201 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: multi-step.

  • Common chord of intersecting circles
  • Radius of circle given diameter as chord of another

Difficulty

Easy 0Medium 2Hard 1

2 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 · Q28Consider two circles C1:x2+y2=25C_1: x^2 + y^2 = 25 and C2:(x−α)2+y2=16C_2: (x - \alpha)^2 + y^2 = 16, where α∈(5,9)\alpha \in (5, 9). Let the angle between the two…HardNumerical value
  2. 28 Jun 2022, Shift 2 · Q23If one of the diameters of the circle x2+y2−22x−62y+14=0x^2+y^2-2\sqrt{2}x-6\sqrt{2}y+14=0 is a chord of the circle…MediumNumerical value
  3. 3 Sep 2020, Shift 2 · Q64Let the latus ractum of the parabola y2=4xy^2 = 4x be the common chord to the circles C1C_1 and C2C_2 each of them having radius 252\sqrt{5}.…MediumSingle correct

Shifts: 3 Sep 2020, Shift 2, 28 Jun 2022, Shift 2, 30 Jan 2024, Shift 2.

Same topic

Other ideas in Power of a Point

Power of a Point has 5 ideas JEE Main has asked; 3 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas