किस विकल्प में संबंध (R) \(A=\{0,1,2\}\) से \(B=\{0,1,2\}\) में फलन है लेकिन \(R^{-1}\) फलन नहीं है?

In which option is relation (R) a function from \(A=\{0,1,2\}\) to \(B=\{0,1,2\}\), but \(R^{-1}\) is not a function?

Explanation opens after your attempt
Correct Answer

B. ({(0,1),(1,1),(2,2)})

Step 1

Concept

Option (B) is a function, but in the inverse relation (1) has images (0) and (1). Hence \(R^{-1}\) is not a function.

Step 2

Why this answer is correct

The correct answer is B. ({(0,1),(1,1),(2,2)}). Option (B) is a function, but in the inverse relation (1) has images (0) and (1). Hence \(R^{-1}\) is not a function.

Step 3

Exam Tip

विकल्प (B) फलन है, पर उल्टे संबंध में (1) की छवियां (0) और (1) होंगी। इसलिए \(R^{-1}\) फलन नहीं है।

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Mathematics Answer, Explanation and Revision Hints

किस विकल्प में संबंध (R) \(A=\{0,1,2\}\) से \(B=\{0,1,2\}\) में फलन है लेकिन \(R^{-1}\) फलन नहीं है? / In which option is relation (R) a function from \(A=\{0,1,2\}\) to \(B=\{0,1,2\}\), but \(R^{-1}\) is not a function?

Correct Answer: B. ({(0,1),(1,1),(2,2)}). Explanation: विकल्प (B) फलन है, पर उल्टे संबंध में (1) की छवियां (0) और (1) होंगी। इसलिए \(R^{-1}\) फलन नहीं है। / Option (B) is a function, but in the inverse relation (1) has images (0) and (1). Hence \(R^{-1}\) is not a function.

Which concept should I revise for this Mathematics MCQ?

Option (B) is a function, but in the inverse relation (1) has images (0) and (1). Hence \(R^{-1}\) is not a function.

What exam hint can help solve this Mathematics question?

विकल्प (B) फलन है, पर उल्टे संबंध में (1) की छवियां (0) और (1) होंगी। इसलिए \(R^{-1}\) फलन नहीं है।