• If two or more words rhyme with one another, it means the set of words has similar exact ending sounds. Examples: cat-bat, now-cow, and so on.
• From the above-given lines, we've got to search out the pair of words that share the identical ending sound.
• The first line ends with the word ‘life’. The ending sound ‘life’ seemingly doesn’t rhyme with the other ending words.
• This shows that ‘done’ in option A, ‘aimlessly’ in option B, and ‘become’ in option D don't rhyme with ‘life.’ Hence, these are incorrect options.
• Option C gives the pair of words that just about share identical sounds.
  ‘Done’ and ‘become’ have almost similar ending sounds and so, they're the proper pair of rhyming words here.

Hence, option C is the correct answer.