In a pan add 3 tsp oil and roast the urad dal, red chili and tamarind, till the dal turns golden brown. Keep it aside.
In the same pan add the onions(take the skin of the onions) and garlic.
Roast till golden brown. Keep it aside. Roast in a small flame.
Add in the roughly chopped carrots. Cook in a low flame for 5 minutes.
Cool completely
Grind urad dal, red chilli, tamarind, onions, garlic and carrots along with salt into a fine paste. You can add water while grinding.
Temper with mustard seeds and curry leaves.
Carrot Chutney is ready to serve.
Video
Notes
You can add few green chili and reduce the red chili as well
2. Big onion can be replaced instead of shallots
3. 1-2 tbsp of coconut can be added while grinding the carrot chutney.