Find uncommon data from two tables in mysql

i am using a category , product relation to find data. I am in situation like i have a category table and product table with categoryid and product type. No suppose i have a particular type and i want to find those category which a product of a specific type does not have. Table struture are like

Category Table
____________
|Id|Category|
| 1|    X   |
_____________

Product Table
____________________________
|ID | Product|Category| Type|
| 1 | Y      | 1      | 2   |
_____________________________

I can find it by using a sub query like

SELECT * 
FROM   category 
WHERE  id NOT IN(SELECT category 
                 FROM   product 
                 WHERE  type = 2); 

Is there a way to get it by another way

I also use a JOIN like

SELECT * 
FROM   category AS c 
       JOIN products AS p 
         ON c.id <> p.category 
WHERE  p.type = 2 

Why does this not give the appropriate result.