Sam drew a picture of a tree in a graph which is shown below:

Observe the graph and answer the questions.
1. What is the distance of the points \(E\) from the origin?
2. The distance between the points \(A\) and \(C\) is \(unit\).
3. The perpendicular distance of a point \(I\) from the \(y\) - axis is unit.
4. If a point \(P(x,y)\) is equidistant from \(E\) and \(D\), then the relation between \(x\) and \(y\) is