Step 1 :Given the relation \(\{(0,2),(6,-1),(-2,-3),(5,-5)\}\)
Step 2 :The inverse of a relation is found by swapping the x and y coordinates of each pair in the relation.
Step 3 :So, we just need to swap the coordinates of each pair in the given relation.
Step 4 :The inverse relation is \(\{(2,0),(-1,6),(-3,-2),(-5,5)\}\)
Step 5 :\(\boxed{\{(2,0),(-1,6),(-3,-2),(-5,5)\}}\) is the final answer.