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On (A={1,2,3,4}), is (R={(a,b):a-b=2}) symmetric or not?(A={1,2,3,4}) पर (R={(a,b):a-b=2}) सममित है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Not symmetricसममित नहीं
Step 1: ((3,1)\in R) because (3-1=2). Step 2: ((1,3)\notin R) because (1-3=-2), not (2). Step 3: In fixed difference rules, reversing may change the sign, so be careful.चरण 1: ((3,1)\in R) क्योंकि (3-1=2)। चरण 2: ((1,3)\notin R) क्योंकि (1-3=-2), जो (2) नहीं है। चरण 3: निश्चित अंतर वाले नियमों में उलटने पर चिह्न बदल सकता है, इसलिए सावधानी रखें।
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