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Saturday, 10 October

JEE Main Maths · Vector Algebra

Linear Independence in JEE Main

Linear Independence (Maths, Vector Algebra) came 2 times in 2 of the 42 JEE Main shifts Lumi analysed, across 2 distinct ideas. 1 of them came in 2024–26; it was last asked in 2024.

Questions
2
in 2 shifts
Ideas asked
2
0 asked more than once
Numerical answer
0
0% of its questions
Pattern
Occasional
last asked 2024
Questions each year
0240’170’200’211’220’231’240’250’26

In the shifts Lumi analysed for each year.

Difficulty and format
Easy 1Medium 1Hard 0

Format

  • Single correct2 Q
Ideas inside the topic
2 ideas
Where it sits

Part of Vector Algebra, which had 55 questions in all. Linear Independence accounts for 4% of them. In Lumi's JEE taxonomy it belongs to Vectors and 3D Geometry.

Every question

All 2 Linear Independence questions

Newest first, each with its options and official answer.

  1. 29 Jan 2024, Shift 1 · Q17Let a⃗,b⃗\vec{a},\vec{b} and c⃗\vec{c} be three non-zero vectors such that b⃗\vec{b} and c⃗\vec{c} are non-collinear. If a⃗+5b⃗\vec{a}+5\vec{b}…MediumSingle correct
  2. 28 Jul 2022, Shift 1 · Q3Let the vectors a⃗=(1+t)i^+(1−t)j^+k^, b⃗=(1−t)i^+(1+t)j^+2k^\vec{a}=(1+t)\hat{i}+(1-t)\hat{j}+\hat{k},\ \vec{b}=(1-t)\hat{i}+(1+t)\hat{j}+2\hat{k} and…EasySingle correct