Response.Cookie Client Or Server/where Does The Cookie Saved? On Client Machine Or Server Machine?

When calling Response.Cookie.Add(new HttpCookie("MyCookie", "objValue")); where does the cookie saved? on Client Machine or Server Machine?

EDIT:if saved in Client Machine, how can I read it from javascript then? I tried this kind of script.

function getCookie(c_name) {
var i, x, y, ARRcookies = document.cookie.split(";");
for (i = 0; i < ARRcookies.length; i++) {
[code].....

I cannot get the cookie that I saved from code behind. When I look into the document.cookie object, it is just an empty string.

Scenario:On Page_Init() on code behind. I create a cookie using Response.Cookie.Add(new HttpCookie("MyCookie", "cookieValue"));.
On Client side, I'm trying to read the cookie saved from code behind on page load using the snippet above, but it returns undefined