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Paris St Germain, who are seeking their first Champions League title, will take on Barcelona while Atletico Madrid face Bundesliga side Borussia Dortmund, which means all three Spanish teams have the opportunity to reach the semifinals.
Liverpool are second with 64 points, behind the Gunners on goal difference, with 10 games remaining of a thrilling three-way title race..
Erling Haaland, who missed a golden first-half chance, secured the points with a late strike.
Liverpool have 60 points with champions City on 59 and Arsenal on 58, all three teams having played 26 games.
Liverpool's patched-up side came out after the break in top gear.
City tested Chelsea's back line with 31 shots to the visitors' nine, but only five were on target.
Real Madrid's Brahim Diaz scored a stunning goal after a mazy run as they won 1-0 at RB Leipzig on Tuesday.
Liverpool won 3-1 while Manchester City beat Everton 2-0 in an earlier match.
Liverpool, beaten by Arsenal on Sunday, lead the table on 51 points from 23 games but City are up to 49 from 22 and Arsenal on 49 from 23.
City have 43 points from 20 games with Liverpool on 45 while Newcastle's fourth successive defeat left them 10th in the standings.