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Class 12 · Mathematics
→On (A=\mathbb{Q}\setminus{0}), (a*b=\frac{a}{b}). Is it a binary operation?
Class 12 · Mathematics
→On (A=\mathbb{R}\setminus{0}), (a*b=ab). Which statement is correct for this operation?
Class 12 · Mathematics
→On (A=\mathbb{R}\setminus{-1}), (a*b=a+b+ab). Why is this operation closed in (A)?
Class 12 · Mathematics
→On (A=\mathbb{R}\setminus{-1}), (a*b=a+b+ab). What is the inverse of (a) under this operation?
Class 12 · Mathematics
→On (\mathbb{R}\setminus{0}), (a*b=\frac{ab}{a+b}), where (a+b\neq0). Why is it not a binary operation on the whole set?
Class 12 · Mathematics
→On real numbers, (a*b=a+b-ab). Which statement is correct?
Class 12 · Mathematics
→On real numbers, (a*b=a-b). Choose the correct statement about this operation.
Class 12 · Mathematics
→On natural numbers, (a*b=a^b). Which statement is correct?
Class 12 · Mathematics
→On natural numbers, (a*b=a^b). Which property does this operation not satisfy?
Class 12 · Mathematics
→On real numbers, (a*b=a+b+ab). Which statement is correct?
Class 12 · Mathematics
→On real numbers, (a*b=a+b+2). What type of operation is it?
Class 12 · Mathematics
→On real numbers, (a*b=a+b+2). Which is the inverse of (a) under this operation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (a*b=\max(a,b)). What is the identity element?
Class 12 · Mathematics
→On (A={1,2,3,4}), (a*b=\min(a,b)). Which is the identity element?
Class 12 · Mathematics
→On integers, (a*b=a+b+ab). For which (a) will inverses exist in integers under this operation?
Class 12 · Mathematics
→On integers, (a*b=a+b+ab). Which is the identity element of this operation?
Class 12 · Mathematics
→On integers, (a*b=a+b+ab) is given. Is this operation closed on integers?
Class 12 · Mathematics
→On positive real numbers, (a*b=\frac{ab}{2}). Which is the inverse of (a)?
Class 12 · Mathematics
→On (A=\mathbb{R}\setminus{1}), (a*b=a+b-ab). What is the inverse of (a)?
Class 12 · Mathematics
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