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Saturday, 31 October

JEE Main · Maths · Conic Sections

Condition for a Circle

JEE Main asked Condition for a Circle 5 times in 5 of the 108 shifts Lumi analysed, in 2021, 2022 and 2023. It belongs to General Conic Section, in Conic Sections (Maths). The longest wait between two years asking it was 1 year. In 2021 and 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
5
in 5 shifts
Years
3 of 8
First asked
2021
last in 2023
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022 and 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.07’210.07’220.07’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 2 in 24 shifts · 2023: 1 in 12 shifts · 2024: 0 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
  • 20240 of 18
  • 20231 of 12
  • 20222 of 24
  • 20212 of 24
  • 20200 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.

  • Radius of circle that is mirror image in a line
  • Area of quadrilateral from locus intercepts

Difficulty

Easy 0Medium 4Hard 1

4 of the 5 questions had a numerical answer.

Every question

All 5 questions

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

  1. 8 Apr 2023, Shift 1 · Q27Consider a circle C1:x2+y2−4x−2y=α−5C_1:x^2+y^2-4x-2y=\alpha-5. Let its mirror image in the line y=2x+1y=2x+1 be another circle…MediumNumerical value
  2. 25 Jun 2022, Shift 1 · Q24Let the abscissae of the two points P and Q be the roots of 2x2−rx+p=02x^2-rx+p=0 and the ordinates of P and Q be the roots of x2−sx−q=0x^2-sx-q=0. If…MediumNumerical value
  3. 26 Jul 2022, Shift 1 · Q12A point P moves so that the sum of squares of its distances from the points (1, 2)(1,\ 2) and (−2, 1)(-2,\ 1) is 14. Let f (x, y)=0f\,(x,\ y) = 0 be the…MediumSingle correct
  4. 24 Feb 2021, Shift 1 · Q88If one of the diameters of the circle x2+y2−2x−6y+6=0x^2 + y^2 - 2x - 6y + 6 = 0 is a chord of another circle 'C', whose center is at (2,1)(2, 1), then…MediumNumerical value
  5. 27 Aug 2021, Shift 1 · Q86Let the equation x2+y2+px+(1−p)y+5=0x^2+y^2+px+(1-p)y+5=0 represent circles of varying radius r∈(0,5]r \in (0, 5]. Then the number of elements in the set…HardNumerical value

Shifts: 24 Feb 2021, Shift 1, 27 Aug 2021, Shift 1, 25 Jun 2022, Shift 1, 26 Jul 2022, Shift 1, 8 Apr 2023, Shift 1.

Same topic

Other ideas in General Conic Section

General Conic Section has 16 ideas JEE Main has asked; 7 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas