Do i need to Submit Separate (Mobile) Sitemap for AMP pages?

No need providing you have a rel="amphtml" link in your regular page to tell crawlers the AMP HTML version as discussed here: https://www.ampproject.org/docs/guides/discovery.html

Similarly your AMP pages should have a rel="canonical" link to point to real page, to avoid search engines thinking you have duplicate content.

In fact for Google, in the Google Search Console for you site there is an AMP section (under Search Appearance section) that shows all AMP pages it has found and if there are any problems with them.