Explanation:

The Second Battle of Tarain was fought in 1192 by the Ghurids against the Chahamanas and their allies. The Ghurid king Muhammad Ghori defeated the Chahamana king Prithiviraj Chauhan thus avenging his earlier defeat at the First Battle of Tarain.
 

Prithviraj Chauhan or Rai Pithora was a king from the Chahamana (Chauhan) dynasty.

He ruled Sapadalaksha, the traditional Chahamana territory, in present-day north-western India. He controlled much of the present-day Rajasthan, Haryana, and Delhi; and some parts of Punjab, Madhya Pradesh and Uttar Pradesh.

His capital was located at Ajayameru (modern Ajmer)