0 reads0 ratings0 helpful
On (A={1,2,4,8}), (a*b=\operatorname{lcm}(a,b)). Which statement is correct?समुच्चय (A={1,2,4,8}) पर (a*b=\operatorname{lcm}(a,b)) है। कौन-सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Identity is (1) and only (1) has an inverseतत्समक अवयव (1) है और केवल (1) का प्रतिलोम है
Step 1: (\operatorname{lcm}(a,1)=a), so (1) is the identity. Step 2: An inverse (b) of (a) must satisfy (\operatorname{lcm}(a,b)=1). Step 3: This is possible only for (a=1) and (b=1), so only (1) has an inverse.चरण 1: (\operatorname{lcm}(a,1)=a), इसलिए (1) तत्समक अवयव है। चरण 2: किसी (a) का प्रतिलोम (b) तभी होगा जब (\operatorname{lcm}(a,b)=1)। चरण 3: यह केवल (a=1) और (b=1) पर संभव है; इसलिए केवल (1) का प्रतिलोम है।
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
