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Tottenham Hotspur moved second in the Premier League by beating Watford, while Aston Villa secured a victory over Norwich City.
Elsewhere, Sunderland struck twice late on to draw at Liverpool, Newcastle United edged West Bromwich Albion, Stoke City were well beaten by Everton, and Swansea City's encounter with Crystal Palace ended all square.
In the day's early clash, title rivals Manchester City and Leicester City met, with the Foxes securing a stunning away win. The full report for that game can be found in the news section of this site.
Tottenham moved ahead of Man City with a 1-0 win over Watford at White Hart Lane.
Spurs dominated the opening period, with Harry Kane particularly threatening, but failed to break the deadlock prior to the interval.
The introduction of substitute Dele Alli proved vital, as the young England man raced onto Mousa Dembele's feed and rolled the ball square for Kieran Trippier to tap in his first Spurs goal.
Spurs were unable to put the game to bed, missing a host of chances, but defended well against a late Watford onslaught to emerge victorious.
Mauricio Pochettino’s men lie four points behind leaders Leicester.
Aston Villa boosted their hopes of making an unlikely escape from relegation by beating Norwich 2-0 in Birmingham.
The Canaries had enjoyed the better of the first period but Villa took the lead on the stroke of the break through Joleon Lescott, who directed a header home from Carles Gil's free-kick.
Gabriel Agbonlahor doubled the hosts' advantage, lifting a finish over Declan Rudd from Jordan Veretout's through-ball, with the goalkeeper having raced unnecessarily far from his net.
As a result of the day’s events, Norwich dropped into the relegation zone, while rock-bottom Villa moved to within eight points of safety.
Liverpool let a two-goal lead slip late on to draw 2-2 with Sunderland at Anfield.
The Reds bossed the first half but created very little in the way of goal-scoring opportunities.
The hosts, however, took the lead just prior to the hour-mark when James Milner's cross was headed home superbly at the far post by Roberto Firmino.
After Patrick van Aanholt had gone relatively close to restoring parity, Adam Lallana scored into an empty net from Firmino's pull-back, with the Brazilian having charged down an attempted Billy Jones clearance.
Following an exodus of 'Pool fans in protest at rising ticket prices, Adam Johnson gave the Black Cats hope by driving a free-kick under Simon Mignolet.
Jermain Defoe levelled in the final minute of normal time, turning Mamadou Sakho and lashing in a low shot following good work from Wahbi Khazri.
Sunderland are four points from safety, while the Reds drop below local rivals Everton and into eighth place.
Newcastle replaced Norwich in the spot just outside of the relegation zone with a 1-0 victory over West Brom on Tyneside.
The hosts started very positively before having a Cheick Tiote goal disallowed for offside, eventually taking the lead through Aleksandar Mitrovic, who finished well from Jonjo Shelvey's fine through-ball.
Newcastle, after wasting a host of opportunities to make themselves more comfortable, came under pressure during the closing stages but held out for the win, with a block by Steven Taylor on a James McClean strike proving crucial.
Stoke fell into the bottom half thanks to a 3-0 defeat to Everton at the Britannia Stadium.
The Toffees took an early lead when Romelu Lukaka hit a penalty kick straight down the middle after Jack Butland had taken down Tom Cleverley.
Seamus Coleman's first goal of the season - the Irishman skilfully headed Cleverley's corner kick home - doubled Everton's lead soon prior to the half-hour.
Aaron Lennon ensured that the visitors led by three at the break, intercepting Phillipp Wollscheid's poor pass before finishing calmly and efficiently.
Everton missed several chances to move further ahead in the second period but their triumph rarely looked under threat.
Swansea and Crystal Palace drew 1-1 at the Liberty Stadium.
Gylfi Sigurdsson curled home a free-kick to give the Swans an early lead, ahead of a period of dominance for the hosts.
The Swans, though, failed to make the most of their control, and Palace equalised early in the second half thanks to Scott Dann, who fired in from close range after Damien Delaney had flicked on Yohan Cabaye's corner.
Sigurdsson came closest of anyone to winning the clash, striking another fine free-kick, but Wayne Hennessey did very well to push the ball behind.
A win would have been extremely welcome at the Liberty, with the share of the spoils leaving Swansea just four points ahead of 17th-placed Norwich.
By David Maher