## Question 31

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

Maths is funny

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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

If $m*n=n-(m+2)$for any real number *m* and *n* find the value of $3*(-5)$

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