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Class 12 · Mathematics · Medium
→On real numbers, (a*b=a+b+2ab) is defined. What is the identity element?
Class 12 · Mathematics · Medium
→On real numbers, (a*b=3a+3b-2ab) is defined. Is this operation commutative?
Class 12 · Mathematics · Medium
→On (A={0,1}), (a*b=a+b-ab) is defined. What is the value of (1*0)?
Class 12 · Mathematics · Medium
→On natural numbers, (a*b=\frac{a+b}{2}) is defined. Is this a binary operation?
Class 12 · Mathematics · Medium
→On integers, (a*b=a+b+ab) is defined. Is this operation closed on integers?
Class 12 · Mathematics · Medium
→On real numbers, (a*b=a^2+b) is defined. Is this operation commutative?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4,6,12}), (a*b) is the greatest common divisor of (a) and (b). What is the identity element?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4,6,12}), (a*b) is the least common multiple of (a) and (b). What is the identity element?
Class 12 · Mathematics · Medium
→On real numbers, (a*b=a+b-4) is defined. What will be the inverse of (7)?
Class 12 · Mathematics · Medium
→On real numbers, (a*b=a+b-ab) is defined. Choose the correct statement for this operation.
Class 12 · Mathematics · Medium
→On real numbers, (a*b=a+2b) is defined. Is this operation associative?
Class 12 · Mathematics · Medium
→If (a*b=2a+b), what is the value of ((1*2)*3)?
Class 12 · Mathematics · Medium
→For (a*b=a+b+ab) on real numbers, what is the value of (1*2)?
Class 12 · Mathematics · Medium
→On real numbers, (a*b=a+b-3) is defined. What is the inverse of (5)?
Class 12 · Mathematics · Medium
→On real numbers, (a*b=a+b-3) is defined. What is the identity element?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (a*b=b) is defined. Which statement is correct?
Class 12 · Mathematics · Medium
→On (A={1,2,3,4}), (a*b=a) is defined. Which statement is correct?
Class 12 · Mathematics · Medium
→On real numbers, (a*b=a+b+ab) is defined. Which element does not have an inverse under this operation?
Class 12 · Mathematics · Medium
→On real numbers, (a*b=a+b+ab) is defined. What is the inverse of (2)?
Class 12 · Mathematics · Medium
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