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Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+2b). Choose the correct statement.
Class 12 · Mathematics
→On (\mathbb{R}\setminus{-\frac{1}{2}}), (a*b=a+b+2ab). What is the inverse of (a)?
Class 12 · Mathematics
→On (\mathbb{R}\setminus{-\frac{1}{k}}), (a*b=a+b+kab), where (k\neq 0). What is the identity element?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b+kab). For which values of (k) is the operation associative?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a^2+b^2). Is this operation associative?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a^2+b^2). Why is this operation commutative?
Class 12 · Mathematics
→On (A={1,3,5,7}), (a*b) is the remainder when (a+b) is divided by (8). Is it closed on (A)?
Class 12 · Mathematics
→On (A={x\in\mathbb{Z}:x\text{ is even}}), (a*b=\frac{a+b}{2}). Is it a binary operation?
Class 12 · Mathematics
→On (\mathbb{Z}), (a*b=a+b+ab). Which option gives the best analysis for closure?
Class 12 · Mathematics
→On (A=\mathbb{R}\setminus{1}), (a*b=a+b-ab). Which statement is correct?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-ab). What is the identity element?
Class 12 · Mathematics
→On (\mathbb{N}), (a*b=a^b). Which statement is correct?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b+ab+2). Does this operation have an identity element?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b+1). What is the inverse of (a) under this operation?
Class 12 · Mathematics
→On non-zero real numbers, (a*b=\frac{ab}{2}). Which is the inverse of (a)?
Class 12 · Mathematics
→On non-zero real numbers, (a*b=\frac{ab}{2}). What is the identity element?
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
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