A Home Loan is a loan extended by a lender for buying a home. It includes a loan taken for buying a plot and/or constructing a house on that plot (plot plus construction loans are known as Composite Loans). It is offered against a home property that you intend to buy.
Whereas, a Loan Against Property (LAP) is offered against a property that is already in your name. Usually, Banks prefer to lend against a property that is under your possession i.e. against under self-possession. LAP can be taken for business use or even for personal use, say, education for children, marriage etc.
The LTV (Loan to Value) ratio in case of Home Loans is generally higher in comparison to LAP i.e. Banks lend more for buying a house in comparison to availing loan against a property.