Search One signle category

I have recently managed to put together a simple search function for my website. I want to have a search function separate from the main wordpress search on my website. If I paste this code below into a page it works, but not well enough. Is it possible to make this code search only one category I choose and search only post title?

For example I will have a splash page promoting one category on my website from this splash page I want this user to only be able to search the category I choose. Make Sense? And also make it so it just search one field such as “Post Title” or “Page Title”

<form action="https://greenbookpages.com" method="GET"><label for="s">Search for:</label> <input id="s" type="text" name="s" /> <input type="submit" value="Search" /></form>