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Saturday, 31 October

JEE Main · Maths · Complex Numbers and Quadratic Equations

Transformation of Roots

JEE Main asked Transformation of Roots 2 times in 2 of the 108 shifts Lumi analysed, in 2022 and 2024. It belongs to Quadratic Roots, 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
2022
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2022 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200’210.04’220’230.05’240’250’26

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

  • Quadratic with transformed roots from given roots
  • Value from roots of linked quadratics

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. 4 Apr 2024, Shift 1 · Q3If 2 and 6 are the roots of the equation ax2+bx+1=0ax^2+bx+1=0, then the quadratic equation, whose roots are 12a+b\frac{1}{2a+b} and…EasySingle correct
  2. 28 Jul 2022, Shift 2 · Q62Let α,β\alpha,\beta be the roots of the equation x2−2 x+6=0x^2-\sqrt{2}\,x+\sqrt{6}=0 and 1α2+1, 1β2+1\frac{1}{\alpha^2}+1,\ \frac{1}{\beta^2}+1 be the roots…MediumSingle correct

Shifts: 28 Jul 2022, Shift 2, 4 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