JEE Main 2020 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 2 September 2020, Shift 1, Maths Q51

Question 51 of 75 in this shift, Maths question 1 of 25.

R=\{(x, y) : x, y\in \mathbf{Z},\ x^{2}+3y^{2}\le 8\}

is a relation on the set of integers

\mathbf{Z}

, then the domain of

R^{-1}

is :

(1) $\{-2, -1, 0, 1, 2\}$
(2) $\{-2, -1, 1, 2\}$
(3) $\{-1, 0, 1\}$ Official answer
(4) $\{0, 1\}$

Official answer

Option 3

NTA final key (Sep 2020).

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Inverse Relations

Same topic in other shifts

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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.