संबंध \(R=\{(x,y):y=\frac{1}{x},\ x\in{-1,0,1},\ y\in\mathbb{R}\}\) को \(X=\{-1,0,1\}\) से \(\mathbb{R}\) में माना जाए तो सही कथन क्या है?
If \(R=\{(x,y):y=\frac{1}{x},\ x\in{-1,0,1},\ y\in\mathbb{R}\}\) is considered from \(X=\{-1,0,1\}\) to \(\mathbb{R}\), what is correct?
Explanation opens after your attempt
B. यह फलन नहीं है क्योंकि (x=0) पर मान परिभाषित नहीं हैIt is not a function because the value at (x=0) is undefined
Concept
The domain includes (0), but \(\frac{1}{0}\) is undefined. A function needs a value at every element of its domain.
Why this answer is correct
The correct answer is B. यह फलन नहीं है क्योंकि (x=0) पर मान परिभाषित नहीं है / It is not a function because the value at (x=0) is undefined. The domain includes (0), but \(\frac{1}{0}\) is undefined. A function needs a value at every element of its domain.
Exam Tip
प्रांत में (0) शामिल है लेकिन \(\frac{1}{0}\) परिभाषित नहीं है। फलन के लिए प्रांत के हर अवयव पर मान चाहिए।
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