The point at which neither a profit nor a loss is called: 1. Critical Point 2. Danger Point 3. Break-even Point

off course Break-Even point

If you mean "There is neither any profit nor any loss in business, then what is that situation called ?".
Then the answer is that such a situation is typically called as the "Break-Even point", or a "no-profit-no-loss" situation.
This happens when the Gross Profit that you earn from a business is exactly equal to the Fixed Expenses of the business.
Using an example, suppose I sell1000 fans at .100/00 each, which I bought for .80/00 each.
Opening stock and closing stock was .15000/-.
So100000 +15000 - (15,000 +80,000) =1,15,000 -95,000 =20,000 would be my Gross Profit, assuming there are no other variable costs, like Transportation, Freight Inwards etc.
In that scenario, if my fixed expenses, like Electricity Expenses, Salary Expenses, Bank Interest etc.
aggregated to .20,000/-, i.e.
exactly equal to my Gross Profit, it would mean that I am at my "Break-Even Point" "Break-Even Point

Break-Even point

definitley Break-Even Point while total cost equal total revenues

break Even point

When there is no profit no loss in any business, so that point is called Break-even Point.