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If (R) is transitive and ((4,6) \in R), ((6,9) \in R), which pair must be in (R)?यदि (R) संक्रमण है और ((4,6) \in R), ((6,9) \in R), तो कौन सी जोड़ी अवश्य (R) में होगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((4,9))((4,9))
Step 1: In transitivity, ((a,b)) and ((b,c)) imply ((a,c)). Step 2: Here (a=4), (b=6), and (c=9), so ((4,9)) is required. Step 3: When the middle element matches, connect the first and last elements.चरण 1: संक्रमण में ((a,b)) और ((b,c)) से ((a,c)) मिलता है। चरण 2: यहां (a=4), (b=6), (c=9), इसलिए ((4,9)) जरूरी है। चरण 3: बीच का तत्व समान हो तो पहले और आखिरी को जोड़ें।
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