JEE Main · Maths · Complex Numbers and Quadratic Equations

Both Roots Negative

JEE Main asked Both Roots Negative once in the 108 shifts Lumi analysed, on 7 Apr 2025, Shift 1. It belongs to Location of Roots, in Complex Numbers and Quadratic Equations (Maths).

Updated 2026-10-24

Times asked: 1; in 1 shift
Years: 1 of 8
First asked: 2025; the only year
Pattern: New since 2024; asked once so far

Questions on this idea a shift, by year

2017–2026. Asked in 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 1 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
20251 of 8
20240 of 18
20230 of 12
20220 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: calculation.

Parameter range for negative roots

Difficulty

Easy 1Medium 0Hard 0

The question was multiple choice.

Every question

The question

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

7 Apr 2025, Shift 1 · Q3Let the set of all values of $p \in \mathbb{R}$ , for which both the roots of the equation $x^2 - (p+2)x + (2p+9) = 0$ are negative real…EasySingle correct

Shift: 7 Apr 2025, Shift 1.

Same topic

Other ideas in Location of Roots

Location of Roots has 5 ideas JEE Main has asked; 1 of them came up in more than one question.

Topic analysis Chapter analysis Study this chapter All repeated ideas