Search inside a category search result.

Hello Experts,
I am designing a theme for a job aggregation website.
Please help me on how to search on a search result from a category page.

Here is the code in the main search page of a category

<?php $category = get_the_category(); ?>
<form class="form-wrapper cf" method="get" id="jobsearch" action="<?php bloginfo('home'); ?>/">
	<input type="text" placeholder="Search here..." required value="<?php echo wp_specialchars($s, 1); ?>" name="s" id="s" />
    <input type="hidden" name="cat" value="<?php echo $category[0]->cat_ID; ?>" />
	<button type="submit" id="jobsubmit" value="Search Jobs" />Search</button>
</form>

Please help me