यदि \(A={x\in\mathbb{Z}:-2\le x\le2}\) और \(B={y\in\mathbb{Z}:y^2=4}\), तो \(A\times B\) में (x+y=0) वाले युग्मों की संख्या कितनी है?

If \(A={x\in\mathbb{Z}:-2\le x\le2}\) and \(B={y\in\mathbb{Z}:y^2=4}\), how many pairs in \(A\times B\) satisfy (x+y=0)?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

\(B=\{-2,2\}\), and the pairs are ((2,-2)) and ((-2,2)). Keep the sets of both coordinates separate while applying the equation.

Step 2

Why this answer is correct

The correct answer is B. (2). \(B=\{-2,2\}\), and the pairs are ((2,-2)) and ((-2,2)). Keep the sets of both coordinates separate while applying the equation.

Step 3

Exam Tip

\(B=\{-2,2\}\) है और युग्म ((2,-2)) तथा ((-2,2)) मिलते हैं। समीकरण लगाते समय दोनों निर्देशांक का समुच्चय अलग रखें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A={x\in\mathbb{Z}:-2\le x\le2}\) और \(B={y\in\mathbb{Z}:y^2=4}\), तो \(A\times B\) में (x+y=0) वाले युग्मों की संख्या कितनी है? / If \(A={x\in\mathbb{Z}:-2\le x\le2}\) and \(B={y\in\mathbb{Z}:y^2=4}\), how many pairs in \(A\times B\) satisfy (x+y=0)?

Correct Answer: B. (2). Explanation: \(B=\{-2,2\}\) है और युग्म ((2,-2)) तथा ((-2,2)) मिलते हैं। समीकरण लगाते समय दोनों निर्देशांक का समुच्चय अलग रखें। / \(B=\{-2,2\}\), and the pairs are ((2,-2)) and ((-2,2)). Keep the sets of both coordinates separate while applying the equation.

Which concept should I revise for this Mathematics MCQ?

\(B=\{-2,2\}\), and the pairs are ((2,-2)) and ((-2,2)). Keep the sets of both coordinates separate while applying the equation.

What exam hint can help solve this Mathematics question?

\(B=\{-2,2\}\) है और युग्म ((2,-2)) तथा ((-2,2)) मिलते हैं। समीकरण लगाते समय दोनों निर्देशांक का समुच्चय अलग रखें।