I have created one sample which contains one Repeater and One JavaScript method as shown below :
Repeater :
<table>
<asp:repeater runat="server" id="repeaterTest" >
<itemtemplate>
<tr>
<td>
<asp:dropdownlist runat="server" id="ddlTest" onchange="ManageControl(this.id , this.value)">
<items>
<asp:listitem text="Show" value="1"></asp:listitem>
<asp:listitem text="Hide" value="0"></asp:listitem>
</items>
</asp:dropdownlist>
<asp:textbox runat="server" id="textTest"></asp:textbox>
</td>
</tr>
</itemtemplate>
</asp:repeater>
</table>
JavaScript
<script type="text/javascript">
function ManageControl(id, selectedValue) {
var text = document.getElementById(id.replace("ddlTest", "textTest"));
if (selectedValue == "1") {
text.style.display = "";
} else {
text.style.display = "none";
}
}
</script>