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Class 12 · Mathematics
→On (A={1,2,3,4}), (a*b=\min(a,b)). What is the identity element?
Class 12 · Mathematics
→On (A={1,2,3,4}), (a*b=\max(a,b)). Which is the identity element?
Class 12 · Mathematics
→On (A={0,1,2,3}), (a*b) is the remainder when (a+b) is divided by (4). What is the inverse of (2)?
Class 12 · Mathematics
→On positive real numbers, (a*b=\sqrt{ab}). Choose the correct conclusion about this operation.
Class 12 · Mathematics
→On (\mathbb{Z}), (a*b=a+b-3). What is the inverse of (a) under this operation?
Class 12 · Mathematics
→On (\mathbb{Z}), (a*b=a+b-3) is defined. Which statement is correct?
Class 12 · Mathematics
→On (A=\mathbb{R}\setminus{-1}), (a*b=a+b+ab). What is the inverse of (a)?
Class 12 · Mathematics
→On the set (A=\mathbb{R}\setminus{-1}), the operation (a*b=a+b+ab) is defined. What is the identity element?
Class 12 · Mathematics
→On (A={1,2,4,8}), (a*b=\operatorname{lcm}(a,b)). Which statement is correct?
Class 12 · Mathematics
→In (a*b=a+b+\lambda ab) on (\mathbb{R}), (\lambda=2). What is the inverse of (4)?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b+\lambda ab). Under which condition will the inverse of (a) exist?
Class 12 · Mathematics
→If (a*b=a+b+\lambda ab) and (\lambda\neq0), what is the identity element?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-3). What is the simplified form of (a*(b*c))?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-3). What is the value of ((2*5)*7)?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-3). What is the inverse of (8)?
Class 12 · Mathematics
→On (\mathbb{R}\setminus{1}), (a*b=a+b-ab). What is the inverse of (3)?
Class 12 · Mathematics
→On (A=\mathbb{R}\setminus{1}), (a*b=a+b-ab). Why is it closed on (A)?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-ab). Is it associative?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-ab). Is this operation commutative?
Class 12 · Mathematics
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