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Class 12 · Mathematics
→On (A={0,1,2,3,4,5,6}), (a*b) is the remainder when (a+b) is divided by (7). What is the inverse of (3)?
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 identity element?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=\sqrt{a^2+b^2}). What is its identity element?
Class 12 · Mathematics
→On (\mathbb{R}-{0}), (a*b=\frac{a}{b}). What is the correct conclusion about associativity?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-ab). Which statement about this operation is correct?
Class 12 · Mathematics
→On (A=\mathbb{R}-{1}), (a*b=a+b-ab). Why is it closed in (A)?
Class 12 · Mathematics
→If (a*b=a+b-ab), then (1-(a*b)) is equal to what?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b+ab). What is the absorbing element of this operation?
Class 12 · Mathematics
→On (A={0,1}), (a*b=a+b-ab). Which element is absorbing?
Class 12 · Mathematics
→On (A={0,1}), (a*b=ab). Which is the identity element?
Class 12 · Mathematics
→On (A={0,1}), (a*b=|a-b|). What is its identity element?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-2). What is the inverse of (-3)?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-2). What will be the identity element?
Class 12 · Mathematics
→On (\mathbb{Z}), (a*b=a+b+1). What is the inverse of (5)?
Class 12 · Mathematics
→On (\mathbb{R}^+), (a*b=\frac{a}{b}). What is the correct statement?
Class 12 · Mathematics
→On (\mathbb{R}^+), (a*b=ab). What is its identity element?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b+c). What will be the inverse of an element (p)?
Class 12 · Mathematics
→If (a*b=a+b+kab) on (\mathbb{R}), for which values of (k) is the operation associative?
Class 12 · Mathematics
→If (a*b=ka+b) on (\mathbb{R}) is commutative, what is the value of (k)?
Class 12 · Mathematics
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