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Saturday, 31 October

JEE Main · Maths · Conic Sections

Normal Passes Through Center

JEE Main asked Normal Passes Through Center 4 times in 4 of the 108 shifts Lumi analysed, in 2021, 2022 and 2023. It belongs to Circle Tangents, in Conic Sections (Maths). The longest wait between two years asking it was 1 year. In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
3 of 8
First asked
2021
last in 2023
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022 and 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.07’210.04’220.07’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 1 in 24 shifts · 2023: 1 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
  • 20231 of 12
  • 20221 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.

  • Circle from tangents and normal
  • Circle parameters from normals and tangent

Difficulty

Easy 0Medium 2Hard 2

1 of the 4 questions had a numerical answer.

Every question

All 4 questions

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

  1. 13 Apr 2023, Shift 2 · Q13Let the centre of a circle C be (α,β)(\alpha,\beta) and its radius r<8r<8. Let 3x+4y=243x+4y=24 and 3x−4y=323x-4y=32 be two tangents and 4x+3y=14x+3y=1 be a…MediumSingle correct
  2. 28 Jun 2022, Shift 1 · Q30Let the lines y+2x=11+77y+2x=\sqrt{11}+7\sqrt{7} and 2y+x=211+672y+x=2\sqrt{11}+6\sqrt{7} be normal to a circle C:(x−h)2+(y−k)2=r2C:(x-h)^2+(y-k)^2=r^2. If the line…HardNumerical value
  3. 17 Mar 2021, Shift 1 · Q74The line 2x−y+1=02x-y+1=0 is a tangent to the circle at the point (2,5)(2, 5) and the centre of the circle lies on x−2y=4x-2y=4. Then, the radius of…MediumSingle correct
  4. 25 Feb 2021, Shift 1 · Q62Let the lines (2−i)z=(2+i)zˉ(2-i)z = (2+i)\bar{z} and (2+i)z+(i−2)zˉ−4i=0(2+i)z + (i-2)\bar{z} - 4i = 0, (here i2=−1i^2 = -1) be normal to a circle C. If the line…HardSingle correct

Shifts: 25 Feb 2021, Shift 1, 17 Mar 2021, Shift 1, 28 Jun 2022, Shift 1, 13 Apr 2023, 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