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JEE Main 2021 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 3 August 2021, Shift 1, Maths Q61

Question 61 of 90 in this shift, Maths question 1 of 30, Section A.

If

S_1 = \{x \in \mathbb{R} : x^2 + |x| - 2 = 0\}

and

S_2 = \{x \in \mathbb{R} : x^2 + x - 2 = 0\}

, then

(1) $S_1 \cup S_2$ has 4 elements.
(2) $S_1 \cup S_2$ has 2 elements.
(3) $S_1 \cap S_2$ has 2 elements.
(4) $S_1 \cap S_2$ has 1 element.Official answer

Official answer

Option 4

NTA final key.

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Set Operations

Same idea in other shifts

Asked 2× in all

24 Feb 2021, Shift 1 · Q85Let $A = \{n \in N : n \text{ is a 3-digit number}\}$ $B = \{9k + 2 : k \in N\}$ and $C = \{9k + l : k \in N\}$ for some $l$ ( $0 < l < 9$ )…HardNumerical value

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 108 of the 174 JEE Main shifts held from 2017 to 2026.