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Class 12 · Mathematics
→On the set of odd integers, (a\ast b=a+b) is given. Is it a binary operation?
Class 12 · Mathematics
→On the set of even integers, (a\ast b=a+b) is given. Is it a binary operation?
Class 12 · Mathematics
→On integers, the operation (a\ast b=\frac{a+b}{2}) is given. Is it a binary operation on (Z)?
Class 12 · Mathematics
→The operation (a\ast b=a^2+b^2) is given on real numbers. Is it a binary operation on (R)?
Class 12 · Mathematics
→On real numbers, (a\ast b=\frac{a+b}{2}) is given. Does it have an identity element?
Class 12 · Mathematics
→On positive real numbers, (a\ast b=\frac{ab}{2}) is given. What is the identity element?
Class 12 · Mathematics
→On (A={0,1,2,3}), (a\ast b) is the remainder of (a+b) upon division by (4). What is (3\ast 3)?
Class 12 · Mathematics
→On (A={0,1,2}), (a\ast b) is the remainder of (a+b) upon division by (3). What is the inverse of (1)?
Class 12 · Mathematics
→On (A={0,1,2}), (a\ast b) is the remainder of (a+b) upon division by (3). What is the identity element?
Class 12 · Mathematics
→On the set (A={0,1,2}), (a\ast b) is defined as the remainder when (a+b) is divided by (3). What is (2\ast 2)?
Class 12 · Mathematics
→If (a\ast b=a+b-ab), what is (0) for this operation?
Class 12 · Mathematics
→If (a\ast b=a+b+ab), find the value of (1\ast 2).
Class 12 · Mathematics
→The operation (a\ast b=ab) is given on real numbers. What is its nature?
Class 12 · Mathematics
→For the operation (a\ast b=a-b) on integers, which statement is correct?
Class 12 · Mathematics
→For the operation (a\ast b=a+b) on integers, which statement is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), (a\ast b=\min(a,b)). What is the identity element of this operation?
Class 12 · Mathematics
→On the set (A={1,2,3,4}), (a\ast b=\max(a,b)) is given. What is the identity element of this operation?
Class 12 · Mathematics
→On the set (A={1,2,3,4}), (a\ast b=\min(a,b)) is given. What is (3\ast 4)?
Class 12 · Mathematics
→In the operation (a\ast b=a+b+2), what is the inverse of (3)?
Class 12 · Mathematics
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