Hi pareshverma91,
You got some things mixed up. HTML DOM is a Document Object Model which is actually a convention for interacting with HTML in an object oriented style.
Ajax is Asynchronous Javascript and XML and this is a name for a group of techniques used on the client side for retrieving data from the server without interfering with the client side web page.
The only scripting language of the above is Javascript, which is an object oriented language used to make static web pages - dynamic. Basically it allows to "respond" to events on the web page, such as clicking a button, and change an already "dead" page to expand a textbox or enlarging an image for example.
The basics of Javascript are easy and fast to learn. You can start with http://www.w3schools.com/js/default.asp to learn the basics.
Cheers