# CAT 2011 | Question: 52

370 views

Consider the following operators defined below

$x@y$: gives the positive difference of $x$ and $y.$

$x\$y$: gives the sum of squares of$x$and$y.x₤y$: gives the positive difference of the squares of$x$and$y.x\&y$:gives the product of$x$and$y.$Also,$x,y\:\in\:R\:\text{and}\:x\neq y$. The other standard algebraic operations are unchanged. Given that$x@y=x-y$, then find$(x\$y)+(x₤y)$.

1. $2x^2$
2. $2y^2$
3. $2(x^2+y^2)$
4. Cannot be determined

## Related questions

Given $\text{a}$ and $\text{b = a-b; a}$ and $\text{b}$ but $\text{c=a+c-b; a}$ or $\text{b=b-a; a}$ but not $\text{b= a+b}$; find $1$ or $(2$ but not $(3$ or $(4$ and $5... 0 votes 0 answers 2 335 views Consider the following operators defined below$x@y$: gives the positive difference of$x$and$y.$$x\y: gives the sum of squares of x and y.$$x₤y$: gives the posit... 0 votes 0 answers 3 608 views$\text{A}$is standing$5$m East and$4$m North of a point$\text{P}$while$\text{B}$is standing$15$m East and$24$m North of$\text{P. A}$walks at a speed of$1....
$\text{A}$ is standing $5$ m East and $4$ m North of a point $\text{P}$ while $\text{B}$ is standing $15$ m East and $24$ m North of $\text{P. A}$ walks at a speed of \$1....