Question

Fill in the blanks with suitable words:
The point of intersection of $x=y$ and $x=-y$ is always __________.

Answer 1

The lines $x=y$ and $x=-y$ are perpendicular to each other.

As per the graph, they meet at one point i.e. $(0,0)$

Thus, the point of intersection of these two lines will be always $(0,0)$.