The identity element with respect to the multiplication shown in the table above is

The binary operation $*$ is defined on the set of integers p and q by $p*q=pq+p+q,$find $2*(3*4)$

An operation * is defined on the set of real numbers by $a*b=ab+2(a+b+1)$find the identity element

The binary operation defined on the set of real number is such that $x\oplus y=\frac{xy}{6}$for all $x,y\in \mathbb{R}$. Find the inverse of 20 under the operation when the identity element is 6

Question 21
A binary operation $\Delta $is defined by $a\Delta b=a+b+1$for any real number a and b, Find the inverse of the real number 7 under the operation$\Delta $, if the identity element is -1

A binary operation on the set of real numbers excluding –1 is such  that, for all m, n $\varepsilon $ R, $m\Delta n=m+n+mn$. Find the identity element of the operation

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

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 $3\oplus -\tfrac{2}{3}$

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 .

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

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