Can I Hide The Groupbox In Windowsform On Radio Button Selections

//try below one 
1:gbProduct is groupbox for product
2:gbCategory is groupbox for category
3:rbCategory is radio for category
4:rbProduct is category for Product


private void Form1_Load(object sender, EventArgs e)
        {
            gbProduct.Visible = false;
            gbCategory.Visible = true;
        }

        private void rbProduct_CheckedChanged(object sender, EventArgs e)
        {
            if (rbProduct.Checked)
            {
                rbCatagory.Checked = false;
                gbProduct.Visible = true;
                gbCategory.Visible = false;
            }
        }

        private void rbCatagory_CheckedChanged(object sender, EventArgs e)
        {
            if (rbCatagory.Checked)
            {
                rbProduct.Checked = false;
                gbProduct.Visible = false;
                gbCategory.Visible = true;
                
            }
        }

GroupBoxes are like any other control: they have a Visible property.

First some comments on your design. You have two GroupBoxes, only one of which should be displayed at a time. You need to have a control that can have only one of two states active at a time. The control that provides exclusivity is the RadioButton, not the Button. I would place two RadioButtons, named, say product_RB with a tag of product and category_RB with a tag of category, into a third GroupBox, named, say, controls_GB. I will describe the use of the tags below. Set the CheckChanged event handler for both RadioButtons to, say, RB_CheckChanged.

I would declare two boolean variables, named, say, product_active and category_active to track which GroupBox is active. Initialize product_active to true and category_active to false.

The tags product and category are used in the event handler RB_CheckChanged to detect which RadioButton was clicked. Actually, when one of the RadioButtons is clicked, the event handler is invoked twice: once for the RadioButton being "unclicked" and once for the RadioButton being clicked.

Lastly, I do not know if you are overlapping your GroupBoxes but that is a useful way to keep from using valuable real estate.

using System;
using System.Windows.Forms;

namespace GroupBoxVisible
    {
    public partial class GroupBoxVisible : Form
        {

        bool  category_active = false;
        bool  product_active = true;

        // ******************************************** initialize_GUI

        void initialize_GUI ( )
            {

            control_GB.Visible = true;

            category_GB.Visible = category_active;
            product_GB.Visible = product_active;
            }

        // ******************************************* GroupBoxVisible

        public GroupBoxVisible ( )
            {

            InitializeComponent ( );

            initialize_GUI ( );
            }

        // ***************************************** RB_CheckedChanged

        void RB_CheckedChanged ( object    sender, 
                                 EventArgs e )
            {
            bool        is_checked = false;
            RadioButton radio_button = null;
            string      tag = String.Empty;

            radio_button = ( RadioButton ) sender;
            is_checked = radio_button.Checked;
            if ( radio_button.Tag == null )
                {
                throw new ApplicationException ( 
                    @"A tag is not assigned to the RadioButton" );
                }
            tag = radio_button.Tag.ToString ( ).ToLower ( ).Trim ( );
            if ( tag.Length <= 0 )
                {
                throw new ApplicationException ( 
                    @"A zero length tag is assigned to the " +
                    @"RadioButton" );
                }

            switch ( tag )
                {
                case @"product":
                    product_active = is_checked;
                    break;

                case @"category":
                    category_active = is_checked;
                    break;

                default:
                    throw new ApplicationException ( 
                        String.Format (
                            @"{0} is an unrecognized tag", tag ) );
                }

            initialize_GUI ( );
            }

        } // class GroupBoxVisible

    } // namespace GroupBoxVisible

Hope that helps.