संबंध \(R=\{(x,y):y^2=2x,\ x\in{2,8,18},\ y\in{-6,-4,-2,2,4,6}\}\) को दिए गए प्रांत से सहप्रांत में माना गया है। सही निष्कर्ष क्या है?
The relation \(R=\{(x,y):y^2=2x,\ x\in{2,8,18},\ y\in{-6,-4,-2,2,4,6}\}\) is considered from the given domain to the codomain. What is the correct conclusion?
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Correct Answer
B. यह फलन नहीं है क्योंकि (2) की दो छवियां हैंIt is not a function because (2) has two images
Concept
At (x=2), both (y=2) and (y=-2) occur. A relation is not a function if one input has two images.
Why this answer is correct
The correct answer is B. यह फलन नहीं है क्योंकि (2) की दो छवियां हैं / It is not a function because (2) has two images. At (x=2), both (y=2) and (y=-2) occur. A relation is not a function if one input has two images.
Exam Tip
(x=2) पर (y=2) और (y=-2) दोनों मिलते हैं। एक इनपुट की दो छवियां होने पर संबंध फलन नहीं होता।
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