function isRowEmpty(){
        var emptyRow = true;
        var tableRow;
        $('#ProblemsGrid').delegate('td a', 'click', function() {
            tableRow = $(this).closest ('tr');
        });

        tableRow.find('textarea').each(function(index, element){
                var value = $(element).val();
                if(value != "") {emptyRow = false;}
            });
        return emptyRow;
    }

function deleteRow(){
        if (isRowEmpty()===true){
                $('#ProblemsGrid').delegate('td a', 'click', function() {
                 $(this).closest ('tr').remove();
                    });
        }
}

<tr>
<td><textarea name='text' style='width: 98%; height:40px'>....</textarea></td>
<td><a href='#anchor' name='DeleteButton' onclick='deleteRow();'>
<img src='../images/delete.gif'></img> </a>
</td>
</tr>

$('.deleteRow').on('click', function() {
    var tr = $(this).closest('tr');
    var remove = true;
    tr.find('textarea').each(function() {
        if ($(this).val() != '') {
           remove = false;
        }
    });
    if (remove) {
        tr.remove();
    }
});

$(document).on('click', '.deleteRow', function() {
  // ...
});

function deleteRow(){
        if (emptyRow){// isRowEmpty returning emptyRow
                $('#ProblemsGrid').delegate('td a', 'click', function() {
                 $(this).closest ('tr').remove();
                    });
        }
}

function isRowEmpty(el){
    var emptyRow = true;
    if(el.val() != "" && el.val() != "....")
        emptyRow = false;
    return emptyRow;
}

$(document).delegate('#ProblemsGrid td a', 'click', function() {
    if (isRowEmpty($(this).closest('tr').find('textarea'))){
        $(this).closest('tr').remove();
    }
});