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Saturday, 31 October

JEE Main · Maths · Complex Numbers and Quadratic Equations

Area of Rotated Complex Triangles

JEE Main asked Area of Rotated Complex Triangles 2 times in 2 of the 108 shifts Lumi analysed, all in 2021. It belongs to Complex Numbers - Polar Form, in Complex Numbers and Quadratic Equations (Maths). In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
1 of 8
First asked
2021
the only year
Pattern
Gone quiet
across the analysed shifts

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.

00.050.10’170’200.07’210’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 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
  • 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: application.

  • Area of triangle from modulus and argument
  • Area of triangle from complex vertices

Difficulty

Easy 1Medium 1Hard 0

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. 18 Mar 2021, Shift 2 · Q77Let a complex number be w=1−3 iw=1-\sqrt{3}\,i. Let another complex number zz be such that ∣zw∣=1|zw|=1 and arg⁡(z)−arg⁡(w)=π2\arg(z)-\arg(w)=\frac{\pi}{2}. Then…MediumSingle correct
  2. 17 Mar 2021, Shift 1 · Q62The area of the triangle with vertices A(zz), B(iziz) and C(z+izz+iz) is :EasySingle correct

Shifts: 17 Mar 2021, Shift 1, 18 Mar 2021, Shift 2.

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