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Saturday, 31 October

JEE Main · Maths · Complex Numbers and Quadratic Equations

Geometric Rotation

JEE Main asked Geometric Rotation 2 times in 2 of the 108 shifts Lumi analysed, in 2020 and 2022. It belongs to Complex Numbers - Polar Form, in Complex Numbers and Quadratic Equations (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2020
last in 2022
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020 and 2022. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200’210.04’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 0 in 24 shifts · 2022: 1 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
  • 20221 of 24
  • 20210 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: multi-step.

  • Complex plane circle and argument of point
  • Square formed by complex numbers and conjugates

Difficulty

Easy 0Medium 1Hard 1

Every question was multiple choice.

Every question

All 2 questions

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

  1. 25 Jun 2022, Shift 1 · Q20Let a circle C in complex plane pass through the points z1=3+4iz_1=3+4i, z2=4+3iz_2=4+3i and z3=5iz_3=5i. If z(≠z1)z(\neq z_1) is a point on C such that…HardSingle correct
  2. 5 Sep 2020, Shift 1 · Q52If the four complex numbers zz, z‾\overline{z}, z‾−2Re(z‾)\overline{z}-2\mathrm{Re}(\overline{z}) and z−2Re(z)z-2\mathrm{Re}(z) represent the vertices…MediumSingle correct

Shifts: 5 Sep 2020, Shift 1, 25 Jun 2022, Shift 1.

Same topic

Other ideas in Complex Numbers - Polar Form

Complex Numbers - Polar Form has 20 ideas JEE Main has asked; 9 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas