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If (R={(x,y):y=\frac{2}{x-1},\ x\in{0,1,2},\ y\in\mathbb{R}}) is considered from (X={0,1,2}) to (\mathbb{R}), what is correct?संबंध (R={(x,y):y=\frac{2}{x-1},\ x\in{0,1,2},\ y\in\mathbb{R}}) को (X={0,1,2}) से (\mathbb{R}) में माना जाए, तो सही कथन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is not a function because the value at (x=1) is undefinedयह फलन नहीं है क्योंकि (x=1) पर मान परिभाषित नहीं है
The domain includes (1), but (\frac{2}{1-1}) is undefined. A function needs a value for every domain element.प्रांत में (1) शामिल है, लेकिन (\frac{2}{1-1}) परिभाषित नहीं है। फलन के लिए हर प्रांत-अवयव पर मान होना चाहिए।
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