Intransitive infinitive + preposition
Incorrect: They have no house to live.
Correct: They have no house to live in.
Incorrect : There is no chair to sit.
Correct : There is no chair to sit on.
Note: If the infinitive in the above construction is of an intransitive verb, it must have a preposition after it.
But when the infinitive is of a transitive verb, it does not take any preposition. For example:
I have no money to spend.
