Born and borne both come from the verb bear, but they are not used the same way.
Use born when you are talking about birth. It most often appears in passive structures, such as was born or born into. For example, She was born in Delhi and He was born into a musical family are correct.
Use borne for the other meanings of bear, such as carrying, supporting, producing, or enduring. For example, The bridge has borne heavy traffic for years and She has borne a great deal of stress.
- Born: connected to birth
- Borne: connected to carrying, enduring, or supporting
A quick memory tip helps: if the sentence is about coming into life, choose born. If it is about holding up, carrying, or putting up with something, choose borne.
One note: in some fixed expressions, born can also mean having a natural ability, as in a born leader. Even there, the idea is still tied to an inborn quality rather than carrying or enduring.