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The relation (R={(x,y):x^2+y^2=1,\ x\in{-1,0,1},\ y\in{-1,0,1}}) is considered from (X={-1,0,1}) to (Y={-1,0,1}). Why is it not a function?संबंध (R={(x,y):x^2+y^2=1,\ x\in{-1,0,1},\ y\in{-1,0,1}}) को (X={-1,0,1}) से (Y={-1,0,1}) में माना गया है। यह फलन क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (x=0) has two imagesक्योंकि (x=0) की दो छवियां हैं
At (x=0), both (y=1) and (y=-1) are possible. Circle-like relations often break uniqueness in function tests.(x=0) पर (y=1) और (y=-1) दोनों संभव हैं। वृत्त जैसे संबंध अक्सर फलन-परीक्षा में अद्वितीयता तोड़ते हैं।
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