What is difference between repeated poles and distinct poles? As far as i am able to understand is that repeated poles are those that have same value of both x and y coordinates while distinct poles are those that have either same value of x coordinate or y coordinate but neither both
Distinct poles do not need to share an x or y coordinate. They are classified as distinct as long as they do not share the same x AND y space. So any two poles are either distinct or repeated.
The effect repeated poles have on the impulse response of a filter is a little complicated, but the short answer is that it does change. This brief article describes the effects of repeated poles as well as providing proofs:
Hope that helped.