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On (A={1,2,3,4}), (R) is such that ((a,b)\in R) if ((a-b)^2\leq a-b). How many diagonal pairs are in (R)?समुच्चय (A={1,2,3,4}) पर (R) ऐसा है कि ((a,b)\in R) तभी जब ((a-b)^2\leq a-b)। (R) में कितने विकर्ण युग्म हैं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 44
Step 1: On the diagonal, (a-b=0). Step 2: The condition becomes (0^2\leq0), i.e. (0\leq0), which is true. Step 3: Therefore all four diagonal pairs are in the relation.चरण 1: विकर्ण पर (a-b=0) होगा। चरण 2: शर्त (0^2\leq0), यानी (0\leq0), सत्य है। चरण 3: इसलिए चारों ((a,a)) युग्म संबंध में हैं।
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