[Coutty]

$sql = "SELECT title, link FROM menu WHERE category= '" . $category['category'] . "' ";
$result = mysql_query($sql, $db);

Или:
$result=mysql_query("SELECT title, link FROM menu WHERE category= '$category[category]' ", $db);

Или:
$result=mysql_query("SELECT title, link FROM menu WHERE category= '$category[\'category\']' ", $db);