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Saturday, 31 October

JEE Main · Maths · Conic Sections

Area of Tangent-Chord Triangle

JEE Main asked Area of Tangent-Chord Triangle 5 times in 5 of the 108 shifts Lumi analysed, in 2021 and 2022. It belongs to Circle Tangents, 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
2 of 8
First asked
2021
last in 2022
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200.07’210.11’220’230’240’250’26

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: 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
  • 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.

  • Area of triangle from tangents to a circle
  • Area of triangle from tangents to circle

Difficulty

Easy 0Medium 3Hard 2

1 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. 29 Jun 2022, Shift 1 · Q19Let the tangent to the circle C1:x2+y2=2C_1: x^2 + y^2 = 2 at the point M(−1,1)M(-1, 1) intersect the circle C2:(x−3)2+(y−2)2=5C_2: (x - 3)^2 + (y - 2)^2 = 5, at two…HardSingle correct
  2. 28 Jun 2022, Shift 1 · Q14If the tangents drawn at the points O(0, 0) and P(1+5,2)\left(1+\sqrt{5}, 2\right) on the circle x2+y2−2x−4y=0x^2+y^2-2x-4y=0 intersect at the point Q,…MediumSingle correct
  3. 28 Jul 2022, Shift 2 · Q73Let the tangents at two points A and B on the circle x2+y2−4x+3=0x^2+y^2-4x+3=0 meet at origin O (0, 0). Then the area of the triangle OAB is :MediumSingle correct
  4. 17 Mar 2021, Shift 2 · Q78Two tangents are drawn from a point P to the circle x2+y2−2x−4y+4=0x^2+y^2-2x-4y+4=0, such that the angle between these tangents is…MediumSingle correct
  5. 31 Aug 2021, Shift 2 · Q88Let B be the centre of the circle x2+y2−2x+4y+1=0x^2+y^2-2x+4y+1 = 0. Let the tangents at two points P and Q on the circle intersect at the point…HardNumerical value

Shifts: 17 Mar 2021, Shift 2, 31 Aug 2021, Shift 2, 28 Jun 2022, Shift 1, 29 Jun 2022, Shift 1, 28 Jul 2022, 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