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If (R={(a,b):a,b\in\mathbb{R}\text{ and }a^3=b^3}), what type of relation is (R)?यदि (R={(a,b):a,b\in\mathbb{R}\text{ और }a^3=b^3}), तो (R) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Transitiveसंक्रमण
Step 1: If (a^3=b^3) and (b^3=c^3), then (a^3=c^3). Step 2: Therefore ((a,c)) is also in the relation. Step 3: In equality of powers, connect through the middle equality.चरण 1: यदि (a^3=b^3) और (b^3=c^3), तो (a^3=c^3) होगा। चरण 2: इसलिए ((a,c)) भी संबंध में होगा। चरण 3: समान घातों की बराबरी में बीच वाली बराबरी को जोड़ें।
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