समुच्चय \(A=\{1,2,3\}\) पर \(R=\{(1,1),(1,2),(2,1),(2,2),(3,3)\}\) किस गुण को संतुष्ट करता है?

On \(A=\{1,2,3\}\), which property is satisfied by \(R=\{(1,1),(1,2),(2,1),(2,2),(3,3)\}\)?

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Correct Answer

A. प्रतिवर्ती और सममितReflexive and symmetric

Step 1

Concept

It is reflexive because ((1,1),(2,2),(3,3)) are present, and symmetric because the reverse of ((1,2)) is ((2,1)). Hence it satisfies both.

Step 2

Why this answer is correct

The correct answer is A. प्रतिवर्ती और सममित / Reflexive and symmetric. It is reflexive because ((1,1),(2,2),(3,3)) are present, and symmetric because the reverse of ((1,2)) is ((2,1)). Hence it satisfies both.

Step 3

Exam Tip

((1,1),(2,2),(3,3)) हैं इसलिए यह प्रतिवर्ती है और ((1,2)) का उल्टा ((2,1)) भी है। इसलिए यह सममित भी है।

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समुच्चय \(A=\{1,2,3\}\) पर \(R=\{(1,1),(1,2),(2,1),(2,2),(3,3)\}\) किस गुण को संतुष्ट करता है? / On \(A=\{1,2,3\}\), which property is satisfied by \(R=\{(1,1),(1,2),(2,1),(2,2),(3,3)\}\)?

Correct Answer: A. प्रतिवर्ती और सममित / Reflexive and symmetric. Explanation: ((1,1),(2,2),(3,3)) हैं इसलिए यह प्रतिवर्ती है और ((1,2)) का उल्टा ((2,1)) भी है। इसलिए यह सममित भी है। / It is reflexive because ((1,1),(2,2),(3,3)) are present, and symmetric because the reverse of ((1,2)) is ((2,1)). Hence it satisfies both.

Which concept should I revise for this Mathematics MCQ?

It is reflexive because ((1,1),(2,2),(3,3)) are present, and symmetric because the reverse of ((1,2)) is ((2,1)). Hence it satisfies both.

What exam hint can help solve this Mathematics question?

((1,1),(2,2),(3,3)) हैं इसलिए यह प्रतिवर्ती है और ((1,2)) का उल्टा ((2,1)) भी है। इसलिए यह सममित भी है।