Search questions
Use text search or combine filters to find exactly the questions you need.
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a^2+b). In which property does this operation fail?
Class 12 · Mathematics
→On (\mathbb{R}\setminus{-2}), (a*b=a+b+\frac{ab}{2}). What is the inverse of (4)?
Class 12 · Mathematics
→On \(\mathbb{R}\setminus{-2}\), \(a*b=a+b+\frac{ab}{2}\). What is the identity element of this operation?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b+ab). What is the solution of (x*2=8)?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-1). What is the inverse of (8)?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-1). What is the identity element of this operation?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-1). What is the value of ((2*3)*4)?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b-1). Which statement about ((2*3)*4) and (2*(3*4)) is correct?
Class 12 · Mathematics
→On (\mathbb{R}^{+}), (a*b=\frac{ab}{a+b}). Which property does this operation satisfy?
Class 12 · Mathematics
→On (\mathbb{R}^{+}), (a*b=\sqrt{ab}). What is the correct conclusion about this operation?
Class 12 · Mathematics
→On (\mathbb{R}\setminus{0}), (a*b=\frac{a}{b}). Which statement is correct?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b+\alpha ab). If the inverses of (2) and (3) are (-1) and (-\frac{3}{2}) respectively, what is (\alpha)?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=pa+qb). Which condition is necessary and sufficient for associativity?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=pa+qb). What condition is needed for this operation to be commutative?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+\mu b). Which values of (\mu) make this operation associative?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+\mu b). The operation will be commutative only for what value of (\mu)?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a+b+\lambda). For which (\lambda) will the identity be (5)?
Class 12 · Mathematics
→On (\mathbb{Z}), (a*b=a+b+3). What is the inverse of (4) under this operation?
Class 12 · Mathematics
→On (\mathbb{R}), (a*b=a-b). Which of the following statements is correct?
Class 12 · Mathematics
→