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To delete a task, you can use the RemoveAt method of the Collection class by specifying the index of the task that you want to remove. Other than this, you can also delete a task at run time by clicking on the Delete button from the C1GanttView toolbar.
The below code snippet shows how you can delete a task programmatically.
TaskCollection tasks = c1GanttView1.Tasks;
// find NewTask
int index = tasks.IndexOf("New Task");
if (index >= 0)
{
// delete and dispose the new task
Task t = tasks[index];
tasks.RemoveAt(index);
t.Dispose();
}