eliminate vs vanquish

eliminate and vanquish both are verbs.

Word	Noun	Adjective	Verb	Adverb
eliminate	No	No	Yes	No
vanquish	No	No	Yes	No

As verbs, vanquish is a hypernym of eliminate; that is, vanquish is a word with a broader meaning than eliminate:

Other hypernyms of eliminate include beat, beat out, crush, shell, trounce.

eliminate (verb)	vanquish (verb)
eliminate from the body	come out better in a competition, race, or conflict
kill in large numbers
terminate, end, or take out
remove (an unknown variable) from two or more equations
dismiss from consideration or a contest
remove from a contest or race
get rid of something