What is the difference between the types of headlight sources? What are the characteristics of each?

What is the difference between the types of headlight sources? What are the characteristics of each?
Currently, the light sources for automobile headlights include:
Halogen discharge (HID, Xenon) LED
One of 3 kinds is often used.
Each has different characteristics and prices.
Manufacturers use these 3 types depending on the type of car.
What are the features of each?
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