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If (f:A\to B) is not one-one, which statement will always be true?यदि (f:A\to B) एकैकी नहीं है, तो कौन-सा कथन हमेशा सही होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: There exist (a,b\in A) with (a\ne b) and (f(a)=f(b))ऐसे (a,b\in A) मिलेंगे जहाँ (a\ne b) और (f(a)=f(b))
Step 1: Not one-one is the negation of the one-one definition. Step 2: It means two distinct inputs give the same output. Step 3: If proof is needed, showing such two inputs is enough.चरण 1: एकैकी न होना परिभाषा का उल्टा है। चरण 2: इसका अर्थ है कि दो अलग आगत समान निर्गत देते हैं। चरण 3: प्रश्न में प्रमाण माँगा हो तो ऐसे दो आगत दिखाना काफी होता है।
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