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Saturday, 31 October

JEE Main · Maths · Complex Numbers and Quadratic Equations

Equation Formation

JEE Main asked Equation Formation 2 times in 2 of the 108 shifts Lumi analysed, in 2020 and 2024. It belongs to Quadratic Roots, in Complex Numbers and Quadratic Equations (Maths). The longest wait between two years asking it was 4 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2020
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200’210’220’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 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
  • 20241 of 18
  • 20230 of 12
  • 20220 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: calculation.

  • Value from roots of linked quadratics
  • Locate other root of quadratic

Difficulty

Easy 0Medium 2Hard 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. 9 Apr 2024, Shift 1 · Q2Let α,β\alpha,\beta be the roots of the equation x2+22 x−1=0x^2+2\sqrt{2}\,x-1=0. The quadratic equation, whose roots are α4+β4\alpha^4+\beta^4 and…MediumSingle correct
  2. 2 Sep 2020, Shift 2 · Q52Let f(x)f(x) be a quadratic polynomial such that f(−1)+f(2)=0f(-1)+f(2)=0. If one of the roots of f(x)=0f(x)=0 is 3, then its other root lies in :MediumSingle correct

Shifts: 2 Sep 2020, Shift 2, 9 Apr 2024, Shift 1.

Same topic

Other ideas in Quadratic Roots

Quadratic Roots has 22 ideas JEE Main has asked; 13 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas