I got the Answer for my Query after raising a case with Salesforce. I am copying the reply from Salesforce official on my case to below as it might be useful for others in Future.
"By selecting SFDC Partner, your account will be linked to your employers account. You will also be added to your Partner Community or AppExchange listings. SFDC Employee is for Employees of Salesforce and SFDC Customer is for people who don't fall into either of the other categories. For you, I would recommend SFDC Partner.
All Certified Professionals are provided the option to share their certification information and make their certifications available on the verification page through the 'opt-in' verification box. If you select yes, others can search for you by name or email address and view the certifications you hold. The certification verification page will list your name, location, all of your active Salesforce certifications, and the date you became certified. By referring to the certification verification page, customers and partners will be able to easily validate your expertise (certification.salesforce.com).
For additional information about the Certification program, please visit our knowledge base at http://certification.force.com/pkb"
Thanks anurag-bhardwaj for your advise on the same..