I remember reading about how Chola empire stood against the Mughals but a detailed explanation on how the Mughals didn’t manage to conquer the Chola empire would be helpful.
You're mistaken about which empires you read about.The Chola empire disappeared several centuries before the Mughals established their empire. The Cholas declined in the 13th century whereas the Mughals began to establish their empire in the 16th Century eventually controlling the entire subcontinent except a small amount in the far South.