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On real numbers, (aRb) is defined when (a=b) or (a=-b). Is this relation transitive?वास्तविक संख्याओं पर (aRb) तब है जब (a=b) या (a=-b)। यह संबंध संक्रामक है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is transitiveसंक्रामक है
Step 1: This relation is equivalent to (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: A relation of equal or opposite sign is easier to understand through equality of squares.चरण 1: यह संबंध (a^2=b^2) के समान है। चरण 2: यदि (a^2=b^2) और (b^2=c^2), तो (a^2=c^2), इसलिए (aRc)। चरण 3: बराबर या विपरीत चिन्ह वाले संबंध को वर्ग बराबरी से समझना आसान है।
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