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The relation (R={(a,b):a) is the father of (b)(}) is defined on a set of people. Is it generally transitive?सम्बन्ध (R={(a,b):a) (b) का पिता है(}) मनुष्यों के समुच्चय पर दिया है। क्या यह सामान्यतः संक्रामी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Noनहीं
Step 1: If (a) is the father of (b), and (b) is the father of (c), then (a) may be the grandfather of (c), not the father. Step 2: So ((a,c)) need not belong to the same relation. Hence it is not transitive. Step 3: In family relation questions, read the exact relation name carefully.चरण 1: यदि (a), (b) का पिता है और (b), (c) का पिता है, तो (a), (c) का पिता नहीं बल्कि दादा हो सकता है। चरण 2: इसलिए ((a,c)) उसी सम्बन्ध में जरूरी नहीं आएगा। अतः यह संक्रामी नहीं है। चरण 3: रिश्तों वाले प्रश्नों में सम्बन्ध का नाम ठीक-ठीक पढ़ें।
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