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If (A={1,2,3}) and (R={(1,2),(2,1),(2,3)}), which pair must be added to make (R) symmetric?यदि (A={1,2,3}) और (R={(1,2),(2,1),(2,3)}) है, तो (R) को सममित बनाने के लिए कौन-सा युग्म जोड़ना जरूरी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((3,2))((3,2))
Step 1: Symmetry requires the reverse pair of every ordered pair. Step 2: ((1,2)) and ((2,1)) are both present, but the reverse of ((2,3)), which is ((3,2)), is missing. Step 3: The quickest exam method is to locate missing reverse pairs.चरण 1: सममितता के लिए हर ((a,b)) के साथ ((b,a)) चाहिए। चरण 2: ((1,2)) और ((2,1)) दोनों हैं, पर ((2,3)) का उलटा ((3,2)) नहीं है। चरण 3: कमी वाले उलटे युग्म को पहचानना सबसे तेज तरीका है।
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