Clear TextBox inside ASP.Net DataList using JavaScript and jQuery

Here I have created sample as per your requirement, I hope this help you out.

HTML

<div>
    <script type="text/javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/1.8.3/jquery.min.js"></script>
    <script type="text/javascript">
        function ClearAnswerTextBox(button) {
            var chk = $(button).closest('[id*=dlSubCategory]').find('[id*=chkSelect]');            
            if (chk.is(':checked') == false) {
                alert('Plese Select checkbox to clear');
            } else {
                chk.each(function () {
                    if ($(this).is(':checked')) {
                        $(this).closest('tr').find('[id*=txtAnswer]').val("");
                    }
                });
            }
        }    
    </script>
    <asp:DataList ID="dlCategory" runat="server">
        <HeaderTemplate>
            <div class="buttn_hed_bg">
                <div class="lm7 tm1 buttn_hed_txt">
                    Questions</div>
            </div>
        </HeaderTemplate>
        <ItemTemplate>
            <div class="lm5 tm2 buttn_txt">
                <a href='#' class="buttn_txt">
                    <asp:Label ID="LblCat" runat="server" Text='<%#DataBinder.Eval(Container.DataItem,"Name") %>'></asp:Label>
                </a>
            </div>
            <asp:DataList ID="dlSubCategory" runat="server" DataSource='<%# GetSubByCategory()%>'>
                <ItemTemplate>
                    <div class="buttn_div_sub">
                        <div class="lm40 tm2 buttn_txt">
                            <asp:CheckBox ID="chkSelect" runat="server" />
                            <asp:Label ID="Label1" runat="server" Text='<%#DataBinder.Eval(Container.DataItem,"Questions") %>'></asp:Label>
                            <asp:TextBox ID="txtAnswer" runat="server" />
                        </div>
                    </div>
                </ItemTemplate>
                <FooterTemplate>
                    <div>
                        <input type="button" id="btnClear" value="Clear" onclick="ClearAnswerTextBox(this)" />
                    </div>
                </FooterTemplate>
            </asp:DataList>
        </ItemTemplate>
    </asp:DataList>
</div>

C#

DataSet ds;
protected void Page_Load(object sender, EventArgs e)
{
    ds = new DataSet();
    DataTable dt = new DataTable();
    dt.Columns.AddRange(new DataColumn[2] { new DataColumn("Name", typeof(string)),
                        new DataColumn("Questions",typeof(string)) });
    dt.Rows.Add("John Hammond", "Question 1");
    dt.Rows.Add("Mudassar Khan", "Question 2");        
    ds.Tables.Add(dt);
    dlCategory.DataSource = ds;
    dlCategory.DataBind();
}

public DataSet GetSubByCategory()
{
    return ds;
}

Screenshot

After click on clear button