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If (A={1,2,3}), (B={a,b,c}), and (f={(1,a),(2,b),(3,c)}), what type of function is (f)?यदि (A={1,2,3}), (B={a,b,c}), और (f={(1,a),(2,b),(3,c)}), तो (f) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Bijectiveउभयैक
Step 1: The three inputs have distinct images, so the function is one-one. Step 2: All elements of (B) appear as images, so it is onto. Step 3: Since it is both one-one and onto, it is bijective.चरण 1: तीनों आगतों की छवियाँ अलग-अलग हैं, इसलिए फलन एक-एकी है। चरण 2: (B) के सभी अवयव छवि के रूप में आए हैं, इसलिए आच्छादक है। चरण 3: एक-एकी और आच्छादक दोनों होने से यह उभयैक है।
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