JEE Main 2020 · MathsNumerical answerNumerical valueEasyCalculation

JEE Main 6 September 2020, Shift 2, Maths Q74

Question 74 of 75 in this shift, Maths question 24 of 25.

\vec{x}

and

\vec{y}

be two non-zero vectors such that

|\vec{x}+\vec{y}|=|\vec{x}|

and

2\vec{x}+\lambda\vec{y}

is perpendicular to

\vec{y}

, then the value of

\lambda

is ________.

Official answer

1.00

NTA final key (Sep 2020).

Chapter: Vector Algebra
Topic: Dot Product
Idea tested: Expansion of Sum of Vectors Squared

Same idea in other shifts

Asked 3× in all

7 Apr 2025, Shift 2 · Q15Let $\vec{a}$ and $\vec{b}$ be the vectors of the same magnitude such that…MediumSingle correct
30 Jan 2024, Shift 2 · Q18Let $\vec{a}$ and $\vec{b}$ be two vectors such that $|\vec{b}| = 1$ and $|\vec{b} \times \vec{a}| = 2$ . Then…EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.