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Saturday, 31 October

JEE Main · Maths · Straight Lines

Inradius and Circumradius

JEE Main asked Inradius and Circumradius 6 times in 6 of the 108 shifts Lumi analysed, in 2021, 2022 and 2024. It belongs to Properties of Triangles, in Straight Lines (Maths). The longest wait between two years asking it was 2 years. In 2021 and 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
6
in 6 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, 2022 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200.07’210.11’220’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 3 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
  • 20223 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

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

  • Circumradius area perimeter of coordinate triangle
  • Circumradius and inradius from sides

Difficulty

Easy 0Medium 5Hard 1

1 of the 6 questions had a numerical answer.

Every question

All 6 questions

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

  1. 29 Jan 2024, Shift 1 · Q14Let (5,a4)\left(5,\frac{a}{4}\right) be the circumcenter of a triangle with vertices A(a,−2)A(a,-2), B(a,6)B(a,6) and C(a4,−2)C\left(\frac{a}{4},-2\right).…MediumSingle correct
  2. 25 Jun 2022, Shift 1 · Q3Let a, b and c be the length of sides of a triangle ABC such that a+b7=b+c8=c+a9\frac{a+b}{7}=\frac{b+c}{8}=\frac{c+a}{9} If r and R are the radius of…MediumSingle correct
  3. 29 Jul 2022, Shift 2 · Q13Let A (α,−2)(\alpha,-2), B (α,6)(\alpha, 6) and C (α4,−2)\left(\frac{\alpha}{4},-2\right) be vertices of a Δ\DeltaABC. If…MediumSingle correct
  4. 29 Jul 2022, Shift 1 · Q13Let the circumcentre of a triangle with vertices A(a,3)A(a, 3), B(b,5)B(b, 5) and C(a,b)C(a, b), ab>0ab > 0 be P(1,1)P(1, 1). If the line AP intersects the…HardSingle correct
  5. 18 Mar 2021, Shift 2 · Q63A pole stands vertically inside a triangular park ABC. Let the angle of elevation of the top of the pole from each corner of the park be…MediumSingle correct
  6. 16 Mar 2021, Shift 2 · Q82In △\triangleABC, the lengths of sides AC and AB are 12 cm and 5 cm, respectively. If the area of △\triangleABC is 30 cm2\mathrm{cm^2}…MediumNumerical value

Shifts: 16 Mar 2021, Shift 2, 18 Mar 2021, Shift 2, 25 Jun 2022, Shift 1, 29 Jul 2022, Shift 2, 29 Jul 2022, Shift 1, 29 Jan 2024, Shift 1.

Same topic

Other ideas in Properties of Triangles

Properties of Triangles has 5 ideas JEE Main has asked; 2 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas