Do artificial dyes(red 40, blue 1) cause allergic reactions such as swelling in throat just as natural dyes that come from plants do?

They can: It depends on your allergic status. An allergist can help this clarify.

Food dye allergy?: Potentially serious reactions have been reported with a variety of food dyes (also labelled as "food coloring"). However, food dyes are so ubiquitous in foods that it's difficult to make a verifiable association without allergy testing. If you are concerned, you should try to avoid those of concern and consult an allergist to conduct specific testing.