What would have happened if prithviraj killed ghori in the first battle of terrain explain by describing the reasons of the victory of ghori in the second battle

If prithviraj had killed ghori in the first battle, there would be no need for a second battle where prithviraj would be defeated.

Explanation:

Although Prithviraj emerged victorious in the first battle, he proved to be an extremely arrogant and superb character, allowing Ghori to stay alive, even though he knew it could have dire consequences. This decision by Prithviraj was senseless and caused the need for a second battle where he was defeated, also because of his arrogance, allowing Ghori to continue his plans.