how can i find out in which spot my page rank for search term?

venturaim,
The word you need to know is SERPS (Search Engine Result Pages (?the
ranked listing of web pages that are returned for a specific search
query?(1))).

To check rankings a variety of sites exist, some require registration,
others the purchase of software and some are free. A fair selection of
free &/or registration (only) can be found here:
http://www.internet-search-engines-faq.com/track-ranking.shtml

Checking through the offered sites http://www.rankwhere.com/ appeared
as good as any, but I leave that for you to decide.

The next word to know is SEO (Search Engine Optimization (?the process
of optimizing a web page for high search engine rankings for a
particular search term or set of search terms?(1))).

Again the previously mentioned sites will give some tips on how to
improve your rankings via various miens. However a case study that
illustrates how to go about it exists in google answers already
(answered by ?serenta?, question number 295563). See here:
http://answers.google.com/answers/threadview?id=295563

References:
(1) http://www.rlrouse.com/seo-terms-glossary.html

Kind regards,
gfmaster