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Saturday, 31 October

JEE Main · Maths · Conic Sections

Coordinates of Point of Contact

JEE Main asked Coordinates of Point of Contact once in the 108 shifts Lumi analysed, on 3 Aug 2021, Shift 2. It belongs to Circle Tangents, in Conic Sections (Maths).

Updated 2026-10-24

Times asked
1
in 1 shift
Years
1 of 8
First asked
2021
the only year
Pattern
Gone quiet
asked once so far

Questions on this idea a shift, by year

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

00.050.10’170’200.03’210’220’230’240’250’26

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: 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
  • 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

Numerical value is the usual form. Skill tested: multi-step.

  • Contact point of internally touching circles

Difficulty

Easy 0Medium 1Hard 0

1 of the 1 question had a numerical answer.

Every question

The question

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

  1. 3 Aug 2021, Shift 2 · Q86The circles, x2+y2+2x+4y−4=0x^2 + y^2 + 2x + 4y - 4 = 0 and x2+y2−4x+4y+k=0x^2 + y^2 - 4x + 4y + k = 0 touch each other internally. If the point of contact of these…MediumNumerical value

Shift: 3 Aug 2021, Shift 2.

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