badminton racquet vs badminton racket

badminton racquet and badminton racket both are nouns.

Word	Noun	Adjective	Verb	Adverb
badminton racquet	Yes	No	No	No
badminton racket	Yes	No	No	No

As nouns, badminton racquet and badminton racket are synonyms defined as:

badminton racquet and badminton racket: a light long-handled racket used by badminton players

Other synonyms of badminton racquet include battledore.

badminton racquet (noun)	badminton racket (noun)
a light long-handled racket used by badminton players	a light long-handled racket used by badminton players