Question
Download Solution PDFयदि * एक बाइनरी संक्रिया है, जिसे \(\rm a*b=\frac{ab}{2}\) रूप में परिभाषित किया गया है, तो इस बाइनरी संक्रिया के संबंध में तत्समक अवयव है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
\(\rm *\) एक बाइनरी संक्रिया है, जिसे \(\rm a*b=\frac{ab}{2}\) को रूप में परिभाषित किया जाता है।
अवधारणा:
तत्समक अवयव के गुणधर्म का प्रयोग कीजिए।
यदि e तत्समक है, तो -
\(\rm e*a=a*e=a\)
गणना:
मान लीजिए \(\rm e\) तत्समक है,
\(\rm a*e=\frac{ae}{2}\)
\(\rm \implies a=\frac{ae}{2}\)
\(\rm \implies e=a\cdot\frac{2}{a}\)
\(\rm \implies e=2\)
अतः विकल्प (2) सही है।
Last updated on May 26, 2025
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