The Ilbari dynasty is famously known as

The correct option is The Slave Dynasty.

Explanation:
The Slave dynasty, which ruled the Delhi Sultanate from 1206 to 1290 CE, is also commonly referred to as the Ilbari dynasty. This is because several of its prominent rulers, including Shams-ud-din Iltutmish and Ghiyas-ud-din Balban, belonged to the Ilbari tribe of Turks.
The dynasty was founded by Qutb-ud-din Aibak, a former Central Asian Turkic slave who rose to become a general of the Ghurid Empire. Since many of its key rulers started their careers as military slaves (Mamluks) or were descendants of former slaves, the dynasty became widely known as the Mamluk dynasty or the Slave Dynasty in Indian history.