No, except for when the only way to get out of check is to capture the piece that is attacking your king.
The King is not allowed to be in check. If a piece is on a square where if the King were there, the King would in check, the King isn't allowed to capture it.
Yes if it's the only way to escape check.
The king just moves onto it, same as any other capture. The difference is that the king cannot capture a piece or pawn protected by another piece or pawn, as this would place him in check (attacked, subject to capture).
The objective of chess is to checkmate the king, where the king is in check by a piece and it cannot block the check, move to another square, or capture the piece checking the king.
The king can capture any piece (except the other king) the same way other pieces capture, but since he can move only one space, this is usually a defensive move. The king cannot capture a piece that is protected by another piece or pawn, as this would place him in "check" (subject to capture himself).
Yes, the king can capture its attacker as long as the the attacking piece is adjacent to the king and if the king can move to the space where the attacker is without putting himself in check from some other piece of the opponent.
Only in certain circumstances such as having your king in check with no squares to move to and the only way to stop the check is to capture the piece delivering the check.
The king can move at any time as long as the square it goes to does not put it in check. If the king were to be put into check, it has three options: 1) Move from the square to a square where it isn't put in check. 2) Block the check with another piece (unless the attacking piece is a knight). 3) Capture the attacking piece.
Yes, but only if that results in you not being in check anymore. For instance, if it is the one that is checking you. When your king is in check, your only option is to stop the king from being taken. Otherwise, the game is over and you've lost. There are three ways to stop the king from being taken: move the king out of check; block the piece that has attacked the king; or -- here's the answer to your question -- capture the piece that has attacked the king. Any of your pieces that is able to do so, including the king itself, may capture the attacking piece.
You capture it.
If the capture takes the king out of check and it does not become in check from a different source, then yes.