Hard Mathematics Sets Class 11 Level 8

यदि \(A={x:x\in\mathbb{Z}\) और \(x^2-4x+3=0}\) तथा \(B=\{1,3\}\) हैं तो सही संबंध कौन सा है?

If \(A={x:x\in\mathbb{Z}\) and \(x^2-4x+3=0}\) and \(B=\{1,3\}\), which relation is correct?

Explanation opens after your attempt
Correct Answer

A. (A=B)

Step 1

Concept

The equation has roots (1) and (3), so both sets have the same elements. In equal sets order is not considered.

Step 2

Why this answer is correct

The correct answer is A. (A=B). The equation has roots (1) and (3), so both sets have the same elements. In equal sets order is not considered.

Step 3

Exam Tip

समीकरण के हल (1) और (3) हैं इसलिए दोनों समुच्चयों में वही अवयव हैं। बराबर समुच्चय में क्रम नहीं देखा जाता।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A={x:x\in\mathbb{Z}\) और \(x^2-4x+3=0}\) तथा \(B=\{1,3\}\) हैं तो सही संबंध कौन सा है? / If \(A={x:x\in\mathbb{Z}\) and \(x^2-4x+3=0}\) and \(B=\{1,3\}\), which relation is correct?

Correct Answer: A. (A=B). Explanation: समीकरण के हल (1) और (3) हैं इसलिए दोनों समुच्चयों में वही अवयव हैं। बराबर समुच्चय में क्रम नहीं देखा जाता। / The equation has roots (1) and (3), so both sets have the same elements. In equal sets order is not considered.

Which concept should I revise for this Mathematics MCQ?

The equation has roots (1) and (3), so both sets have the same elements. In equal sets order is not considered.

What exam hint can help solve this Mathematics question?

समीकरण के हल (1) और (3) हैं इसलिए दोनों समुच्चयों में वही अवयव हैं। बराबर समुच्चय में क्रम नहीं देखा जाता।

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