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Saturday, 31 October

JEE Main · Maths · Vector Algebra

Acute and Obtuse Angle Conditions

JEE Main asked Acute and Obtuse Angle Conditions 3 times in 3 of the 108 shifts Lumi analysed, in 2022 and 2024. It belongs to Dot Product, in Vector Algebra (Maths). The longest wait between two years asking it was 2 years. In 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 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.

00.050.10’170’200’210.04’220’230.09’240’250’26

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: 2 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
  • 20242 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: application.

  • Parameter set for obtuse angle between vectors
  • Least integer for acute angle between vectors

Difficulty

Easy 1Medium 2Hard 0

1 of the 3 questions had a numerical answer.

Every question

All 3 questions

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

  1. 27 Jan 2024, Shift 1 · Q28The least positive integral value of α\alpha, for which the angle between the vectors αi^−2j^+2k^\alpha\hat{i}-2\hat{j}+2\hat{k} and…EasyNumerical value
  2. 8 Apr 2024, Shift 1 · Q18The set of all α\alpha, for which the vectors a⃗=αti^+6j^−3k^\vec{a}=\alpha t\hat{i}+6\hat{j}-3\hat{k} and…MediumSingle correct
  3. 28 Jul 2022, Shift 2 · Q77Let S be the set of all a∈Ra\in\mathbb{R} for which the angle between the vectors u⃗=a(log⁡eb)i^−6j^+3k^\vec{u}=a(\log_e b)\hat{i}-6\hat{j}+3\hat{k} and…MediumSingle correct

Shifts: 28 Jul 2022, Shift 2, 27 Jan 2024, Shift 1, 8 Apr 2024, Shift 1.

Same topic

Other ideas in Dot Product

Dot Product has 16 ideas JEE Main has asked; 4 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas