How do Daleks kill people?

Answer 1

depends on the enemy and who it is

daleks: disintegrates them; blows them up

Slyveen: blows them up; makes them look into the heart of the tadis

Cybermen: de-activates the device ridding them of emotion, making them realize what they are, killing them.

and many other ways you'll have to watch to find out.

as River says, "spoilers"

Answer 2

They fire a ray out of that great big thing that sticks out of the front of them. It evaporates people, very hygienic.