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Saturday, 31 October

JEE Main · Maths · Conic Sections

Number of Common Tangents

JEE Main asked Number of Common Tangents 6 times in 5 of the 108 shifts Lumi analysed, in 2020, 2021, 2023 and 2024. It belongs to Circle Tangents, in Conic Sections (Maths). The longest wait between two years asking it was 2 years. In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
6
in 5 shifts
Years
4 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, 2021, 2023 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200.10’210’220.07’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 3 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
  • 202122 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: application.

  • Relative position of two circles
  • Parameter for touching circles

Difficulty

Easy 3Medium 3Hard 0

2 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. 1 Feb 2024, Shift 1 · Q15Let C:x2+y2=4C: x^2+y^2=4 and C′:x2+y2−4λx+9=0C': x^2+y^2-4\lambda x+9=0 be two circles. If the set of all values of λ\lambda so that the circles C and C'…MediumSingle correct
  2. 15 Apr 2023, Shift 1 · Q13The number of common tangents, to the circles x2+y2−18x−15y+131=0x^2+y^2-18x-15y+131=0 and x2+y2−6x−6y−7=0x^2+y^2-6x-6y-7=0, isEasySingle correct
  3. 18 Mar 2021, Shift 1 · Q75Choose the correct statement about two circles whose equations are given below : x2+y2−10x−10y+41=0x^2+y^2-10x-10y+41=0 x2+y2−22x−10y+137=0x^2+y^2-22x-10y+137=0EasySingle correct
  4. 17 Mar 2021, Shift 1 · Q75Choose the incorrect statement about the two circles whose equations are given below : x2+y2−10x−10y+41=0x^{2}+y^{2}-10x-10y+41=0 and…MediumSingle correct
  5. 17 Mar 2021, Shift 1 · Q86The minimum distance between any two points P1P_1 and P2P_2 while considering point P1P_1 on one circle and point P2P_2 on the other…EasyNumerical value
  6. 9 Jan 2020, Shift 2 · Q73If the curves, x2−6x+y2+8=0x^2-6x+y^2+8=0 and x2−8y+y2+16−k=0x^2-8y+y^2+16-k=0, (k>0)(k>0) touch each other at a point, then the largest value of kk is ______.MediumNumerical value

Shifts: 9 Jan 2020, Shift 2, 17 Mar 2021, Shift 1, 18 Mar 2021, Shift 1, 15 Apr 2023, Shift 1, 1 Feb 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