Hi Amol111,
I have created sample that full fill your requirement.
HTML
<div>
<cc1:ToolkitScriptManager ID="ToolkitScriptManager1" runat="server">
</cc1:ToolkitScriptManager>
<table>
<tr>
<td>
<asp:DropDownList runat="server" ID="ddlYears" AutoPostBack="true" OnSelectedIndexChanged="SelectionChanged">
<asp:ListItem Text="Select" />
<asp:ListItem Text="2015" />
<asp:ListItem Text="2016" />
</asp:DropDownList>
</td>
<td>
<asp:TextBox ID="txtDate" runat="server" ReadOnly="true"></asp:TextBox>
<asp:ImageButton ID="imgPopup" ImageUrl="images/calendar.png" ImageAlign="Bottom"
runat="server" />
<cc1:CalendarExtender ID="ce1" PopupButtonID="imgPopup" runat="server" TargetControlID="txtDate"
Format="dd/MM/yyyy">
</cc1:CalendarExtender>
</td>
</tr>
</table>
</div>
Code
protected void SelectionChanged(object sender, EventArgs e)
{
int selected = Convert.ToInt32(ddlYears.SelectedItem.Text);
DateTime startDate = new DateTime(selected, 04, 01);
DateTime endDate = new DateTime(selected + 1, 03, 31);
ce1.StartDate = startDate;
ce1.EndDate = endDate;
}
Screenshot