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Class 12 · Mathematics
→On (A={1,2,3}), (a*b=b) is defined. Which statement is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), (a*b=a) is defined. Which statement is correct?
Class 12 · Mathematics
→On real numbers, (a*b=a+b+ab) is defined. Which element does not have an inverse under this operation?
Class 12 · Mathematics
→On real numbers, (a*b=a+b+ab) is defined. What is the inverse of (2)?
Class 12 · Mathematics
→On real numbers, (a*b=\frac{a+b}{2}) is defined. Which property does this operation have?
Class 12 · Mathematics
→On integers, (a*b=ab+1) is defined. Is this operation associative?
Class 12 · Mathematics
→On integers, (a*b=ab+1) is defined. Is this operation commutative?
Class 12 · Mathematics
→On natural numbers, (a*b=a-b) is defined. Is this a binary operation?
Class 12 · Mathematics
→On natural numbers, (a*b=a+b) is defined. Is this a binary operation?
Class 12 · Mathematics
→On real numbers, (a*b=a+b-ab) is defined. For (a\neq1), what is the inverse of (a)?
Class 12 · Mathematics
→On real numbers, (a*b=a+b-ab) is defined. What is the identity element?
Class 12 · Mathematics
→On (A={0,1,2,3}), (a*b) is the remainder obtained when (a+b) is divided by (4). What is the inverse of (3)?
Class 12 · Mathematics
→On (A={0,1,2}), define (a*b) as the remainder when (a+b) is divided by (3). What is the identity element?
Class 12 · Mathematics
→On real numbers, (a*b=a+2b) is defined. When will this operation be commutative?
Class 12 · Mathematics
→On real numbers, (a*b=a^2+b^2) is defined. Is this operation commutative?
Class 12 · Mathematics
→On positive real numbers, (a*b=\frac{ab}{2}) is defined. What is the identity element of this operation?
Class 12 · Mathematics
→On real numbers, (a*b=a-b) is defined. Which property does this operation have?
Class 12 · Mathematics
→On integers, (a*b=a+b+1) is defined. Choose the correct statement about this operation.
Class 12 · Mathematics
→On real numbers, (a*b=a+b-2) is defined. What is the inverse of (3) under this operation?
Class 12 · Mathematics
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