harry kane became the youngest premier league player to be captain this season -lrb- 21 years and 251 days -rrb- .
tottenham hotspur could not steal the win at turf moor against relegation-threatened burnley .
mauricio pochettino 's side failed to take advantage of liverpool 's loss in the race for the top four .
tottenham are now seven points adrift of manchester city in fourth but have played a game more .