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Class 12 · Mathematics
→On the set ({0,1,2}), (a*b) is the remainder of (a+b) on division by (3). Which is the inverse of (2)?
Class 12 · Mathematics
→On the set ({0,1,2}), (a*b) is the remainder of (a+b) on division by (3). Which is the identity element?
Class 12 · Mathematics
→On the set ({0,1}), (a*b) is the remainder of (a+b) on division by (2). What is the inverse of (1)?
Class 12 · Mathematics
→On the set ({0,1}), (a*b) is the remainder obtained when (a+b) is divided by (2). What is the identity element?
Class 12 · Mathematics
→Why is usual addition not a binary operation on the set ({0,1})?
Class 12 · Mathematics
→Why is usual multiplication a binary operation on the set ({0,1})?
Class 12 · Mathematics
→On the set of integers (\mathbb{Z}), what type is (a*b=|a-b|)?
Class 12 · Mathematics
→Why can (a*b=\sqrt{a+b}) not be considered a binary operation on (\mathbb{N})?
Class 12 · Mathematics
→On the set (\mathbb{Q}), (a*b=a+b) is defined. Why is it a binary operation?
Class 12 · Mathematics
→On the set ({1,2,3}), (a*b=\max(a,b)). What is the identity element?
Class 12 · Mathematics
→On the set ({1,2,3}), (a*b=\min(a,b)). What is the identity element?
Class 12 · Mathematics
→What is the inverse of (5) under usual multiplication?
Class 12 · Mathematics
→What is the inverse of (7) under usual addition?
Class 12 · Mathematics
→What is the identity element for usual addition on real numbers?
Class 12 · Mathematics
→What is the identity element for usual multiplication on real numbers?
Class 12 · Mathematics
→If (a*b=a+2b), which statement about commutativity is correct?
Class 12 · Mathematics
→For (a*b=a+b+ab) on real numbers, which statement is correct?
Class 12 · Mathematics
→Why is (a*b=a-b) not associative on real numbers?
Class 12 · Mathematics
→For (a*b=a+b) on real numbers, which statement about associativity is correct?
Class 12 · Mathematics
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