You Do Need power plug adapter while traveling from Egypt to India.

Here is Why You Need An Adapter

The outlet and plug type used in India are C, D and M and in Egypt are C and F. This is how they look like.

Egypt

In Egypt, outlets of type C and F are in use.

Type C

Type F

India

In India, outlets of type C, D and M are in use.

Type C

Type D

Type M