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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x-3|), which pair breaks one-one property?यदि (f:\mathbb{R}\to\mathbb{R}) और (f(x)=|x-3|) हो तो कौन सा युग्म एकैकीपन तोड़ता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2) and (4)(2) और (4)
Step 1: (f(2)=|2-3|=1). Step 2: (f(4)=|4-3|=1), although (2\neq4). Step 3: In modulus functions, points equally far from the center can give the same value.चरण 1: (f(2)=|2-3|=1) है। चरण 2: (f(4)=|4-3|=1) है जबकि (2\neq4)। चरण 3: मापांक में केंद्र से बराबर दूरी वाले दो बिंदु समान मान दे सकते हैं।
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