This is how you can do on client side.
Add JQuery Script file in head tag and your javascript function function name here (selectValue)
Tested Code:
<script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/1.4.4/jquery.min.js"></script>
<script type="text/javascript">
function selectValue() {
if (document.getElementById("CityStateZip_0").checked == true) {
$("#divOne").show(100);
$("#divTwo").hide(100);
}
if (document.getElementById("CityStateZip_1").checked == true) {
$("#divOne").hide(100);
$("#divTwo").show(100);
}
}
</script>
Html Marup:
<div>
<asp:RadioButtonList ID="CityStateZip" runat="server" onchange="return selectValue();"
RepeatDirection="Horizontal">
<asp:ListItem Value="1" Selected="True">City and State</asp:ListItem>
<asp:ListItem Value="2">Zip Code</asp:ListItem>
</asp:RadioButtonList>
</div><br /><br />
<div id="divOne">
<h3>Div one...</h3>
Enter your City State content
</div>
<div id="divTwo">
<h3>Div two...</h3>
Enter you Zip code content
</div>