A binary operation on the set of real number is defined by $x*y=\frac{x+y}{2}$ for all x, y$\in $N. Find 7*5 

The binary operation * is defined $x*y=xy-y-x$ for real values of x and y. If $x*3=2*x$, find the value of x

A binary operation * is defined by $x*y={{x}^{y}}$ . If $x*2=12-x$ find the possible value of x

$\begin{align}  & \text{If a binary operation }*\text{ is defined by   }x*y=x+2y,\text{ find }2*(3*4) \\ & (A)\text{ }26\text{  }(B)\text{ }24\text{ }(C)\text{ }16\text{  }(D)\text{ }14 \\\end{align}$

The binary operation * is defined on the set of real numbers is defined by $m*n=\frac{mn}{2}$for all$m,n\in \mathbb{R}$. If the identity element is 2. Find the inverse of –5 .

The binary operation* is defined on the set of integers such that $p*q=pq+p-q$. Find $2*(3*4)$

A binary operation $\oplus $on real number us defined by $x\oplus y=xy+x+y$for two real numbers x and y. Find the value of $3\oplus -\tfrac{2}{3}$

If $x*y=x+{{y}^{2}}$, find the value of $(2*3)*5$

A binary operation $\otimes $defined on the set of integers is such that m$\otimes $n = m + n + mn for all integers m and n. Find the inverse of  –5 under this operation, if the identity element is 0