Try with
function validateDate(testdate) {
var date_regex = /^(0[1-9]|1[0-2])\/(0[1-9]|1\d|2\d|3[01])\/(19|20)\d{2}$/ ;
return date_regex.test(testdate);
}
But better to use regular expression use Date object
from your date string and then validate it.