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On real numbers, (aRb) is defined when (a^2-b^2=0). Is this relation transitive?वास्तविक संख्याओं पर (aRb) तब है जब (a^2-b^2=0)। यह संबंध संक्रामक है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is transitiveसंक्रामक है
Step 1: (a^2-b^2=0) means (a^2=b^2). Step 2: If (a^2=b^2) and (b^2=c^2), then (a^2=c^2), so (aRc). Step 3: First convert the equation into a simpler equality.चरण 1: (a^2-b^2=0) का अर्थ है (a^2=b^2)। चरण 2: यदि (a^2=b^2) और (b^2=c^2), तो (a^2=c^2), इसलिए (aRc)। चरण 3: समीकरण को पहले सरल बराबरी में बदलें।
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