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Saturday, 31 October

JEE Main · Maths · Conic Sections

Radical axis of two circles

JEE Main asked Radical axis of two circles 3 times in 3 of the 108 shifts Lumi analysed, in 2020, 2023 and 2024. It belongs to Power of a Point, in Conic Sections (Maths). The longest wait between two years asking it was 3 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, 2023 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200’210’220.07’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 0 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
  • 20210 of 24
  • 20201 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.

  • Common chord of two circles and distance of point
  • Common chord length of two circles

Difficulty

Easy 1Medium 1Hard 1

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. 5 Apr 2024, Shift 2 · Q15Let the circle C1:x2+y2−2(x+y)+1=0C_1 : x^2+y^2-2(x+y)+1=0 and C2C_2 be a circle having centre at (−1,0)(-1, 0) and radius 2. If the line of the common chord…EasySingle correct
  2. 13 Apr 2023, Shift 1 · Q21Let w=zzˉ+k1z+k2iz+λ(1+i)w=z\bar{z}+k_1z+k_2iz+\lambda(1+i), k1,k2∈Rk_1,k_2\in\mathbb{R}. Let Re(w)=0\mathrm{Re}(w)=0 be the circle C of radius 1 in the first quadrant…HardNumerical value
  3. 4 Sep 2020, Shift 2 · Q65The circle passing through the intersection of the circles, x2+y2−6x=0x^2+y^2-6x=0 and x2+y2−4y=0x^2+y^2-4y=0, having its centre on the line,…MediumSingle correct

Shifts: 4 Sep 2020, Shift 2, 13 Apr 2023, Shift 1, 5 Apr 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