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Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a^2+b). What prevents (0) from being an identity?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a^2+b). Choose the correct statement.
Class 12 · Mathematics
→On (A={0,1,2,3}), (a*b) is the remainder when (ab) is divided by (4). Which element has a multiplicative inverse?
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 (3)?
Class 12 · Mathematics
→On (A={1,2,3,4}), (a*b=\min(a+b,4)). What is true about the identity element?
Class 12 · Mathematics
→On (\mathbb{Z}), (a*b=a+b+ab). Is it associative on (\mathbb{Z})?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-2ab). What is the inverse of (2)?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-2ab). Which element will not have an inverse?
Class 12 · Mathematics
→If (a*b=a+b-2ab), what is the identity element of this operation?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-ab). Which element has no inverse?
Class 12 · Mathematics
→If (a*b=a+b-ab), then (1-a*b) is equal to what?
Class 12 · Mathematics
→On (\mathbb{R}\setminus{-1}), (a*b=a+b+ab) is given. This operation is related to which expression?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b+ab). Which statement about (a=-1) is correct?
Class 12 · Mathematics
→On (A=\mathbb{R}\setminus{0}), (a*b=\frac{a}{b}). Choose the correct statement.
Class 12 · Mathematics
→For (a*b=a+b+ab) on (\mathbb{R}), which form is helpful for checking associativity?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b+ab). On which set will this operation not be closed?
Class 12 · Mathematics
→On (\mathbb{Q}\setminus{0}), (a*b=\frac{ab}{2}). What will be the inverse of (a)?
Class 12 · Mathematics
→On (\mathbb{Q}\setminus{0}), (a*b=\frac{ab}{2}). What is the identity element?
Class 12 · Mathematics
→On (\mathbb{Z}), (a*b=a+b-1). What is the inverse of (5)?
Class 12 · Mathematics
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