Ok, it's not a "category" in JIRA-speak, because project categories are a user-definable way of grouping projects together, and you can group Business, Service Desk and Agile projects together in a category.
It is clear what you mean though - when creating a project, you get offered a number of templates, and these are grouped by the application that provides them - JIRA Core gives you business projects, Service Desk gives you service desk ones, and Software gives you Agile/Software ones.
Your question could be read two ways though.
Go to manage applications and check that it's installed, enabled and licenced. Another quicker check though - do you have "boards" in your menu?
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