Don't get confused with heading. Ofcourse there are two king.
White to move
If you drive an enemy king into a corner, you still need to control four different squares to checkmate him. Your king can control two of those squares (but cannot approach the enemy king), your knight can control the third, but there is no way of controlling the fourth. That is, it is impossible for the knight to control both the corner square and the one adjacent to the enemy king (the one your own king doesn't control).
So the result would be a draw.
Check my post on draw situation here.
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