Peel the carrots, and cut them into thin roundrels. If you are really in a mood, then grate them! ;) Chop the tomato.
Heat oil in a saucepan. Add the carrots and tomato and saute till the carrots look slightly wilty. Add in the dal, green chilli, salt and enough water and cook till the dal is done.
Roast the powders lightly till fragrant and add into the dal. Mix well and cook on simmer for five minutes. Switch off.
Heat oil for tempering, splutter the mustard. Briefly fry the curry leaves and dump into the dal. Dig in with some chapathis or plain rice!