Jesus asked "do you Agapao me?"

Agapaō

- (Greek) to love someone as you love yourself, unconditional, Godly

Phileō

- (Greek) a human response to something that is found to be delightful. Also known as "brotherly love"

Joh 21:15  So when they had dined, Jesus saith to Simon Peter, Simon, son of Jonas, lovest (agapaō) thou me more than these? He saith unto him, Yea, Lord; thou knowest that I love (phileō) thee. He saith unto him, Feed my lambs.
Joh 21:16  He saith to him again the second time, Simon, son of Jonas, lovest (agapaō) thou me? He saith unto him, Yea, Lord; thou knowest that I love (phileō) thee. He saith unto him, Feed my sheep.
Joh 21:17  He saith unto him the third time, Simon, son of Jonas, lovest (phileō) thou me? Peter was grieved because he said unto him the third time, Lovest (phileō) thou me? And he said unto him, Lord, thou knowest all things; thou knowest that I love (phileō) thee. Jesus saith unto him, Feed my sheep.

For King James Version bible with the original language (Greek & Hebrew) included, download e-Sword for free.