Please avoid visiting the Taj Mahal, it is not an engineering Marvel nor does it have anything to do with being the symbol of love. It's a symbol of lust and the empire was known for male chauvinism and was a production factory of kids where woman were treated like slaves. Heck, the king married his own daughter after the death of his wife lmao. If you really want to explore the true culture and beauty of India, visit Leh Ladakh, Manali, Coorg, Varanasi, Rajasthan, Kodaikanal, Ooty, Rishikesh to name a few.
If you want to see the historical structures of India and true engineering marvels, visit the Ajanta caves, Bahai Lotus Temple, Rani ki Vav an DO NOT MISS Kailash Cave (a huge temple carved out of a single rock!).