A cat wants to catch a rat. The cat follows the path whose equation is `x+y=0`. But rat follows the path whose equation is `x^(2)+y^(2)=4`. The coordinates of possible points of catching the rat are

Options

A. `(sqrt(2), sqrt(2))`
B. `(-sqrt(2),sqrt(2))`
C. `(sqrt(2),sqrt(3))`
D. `(0,0)`

Explanation

To solve the problem of finding the coordinates where the cat can catch the rat, we need to find the intersection points of the two paths described by their equations.

### Step-by-Step Solution:

1. **Identify the equations of the paths**:
- The cat's path is given by the equation:
\[
x + y = 0
...