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Saturday, 31 October

JEE Main · Maths · Conic Sections

Maximum and Minimum Distance to a Circle

JEE Main asked Maximum and Minimum Distance to a Circle 3 times in 3 of the 108 shifts Lumi analysed, in 2021 and 2024. It belongs to Circle Tangents, in Conic Sections (Maths). The longest wait between two years asking it was 3 years. In 2024 it came in more than one shift of the same year.

Updated 2026-10-24

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

Questions on this idea a shift, by year

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

00.050.10’170’200.03’210’220’230.09’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 2 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
  • 20242 of 18
  • 20230 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.

  • Shortest distance from point to circle
  • Max and min distance from point to semicircle

Difficulty

Easy 0Medium 2Hard 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 · Q24Let the maximum and minimum values of (8x−x2−12−4)2+(x−7)2\left(\sqrt{8x-x^2-12}-4\right)^2 + (x-7)^2, x∈Rx \in R be MM and mm, respectively. Then…HardNumerical value
  2. 5 Apr 2024, Shift 1 · Q13Let a circle C of radius 1 and closer to the origin be such that the lines passing through the point (3,2)(3, 2) and parallel to the…MediumSingle correct
  3. 26 Feb 2021, Shift 2 · Q70Let A(1,4)A(1, 4) and B(1,−5)B(1, -5) be two points. Let PP be a point on the circle (x−1)2+(y−1)2=1(x-1)^2+(y-1)^2=1 such that (PA)2+(PB)2(PA)^2+(PB)^2 have maximum…MediumSingle correct

Shifts: 26 Feb 2021, Shift 2, 5 Apr 2024, Shift 2, 5 Apr 2024, Shift 1.

Same topic

Other ideas in Circle Tangents

Circle Tangents has 19 ideas JEE Main has asked; 8 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas