Postpublished at 20:11 British Summer Time 18 April 2015
That's all from us for the night - see you tomorrow.
Hazard scores only goal after neat move
Blues 10 points clear at top of table
Rooney closest for United with early shot
Chelsea's last home PL defeat a year ago
United's first dropped points in seven games
Tom Rostance
That's all from us for the night - see you tomorrow.
Cesc Fabregas says he will have to wear his protective mask for the rest of the season and he will need an operation in the summer.
Spanish La Liga
Across Europe and some news as Gareth Bale lasted just four minutes of Real Madrid's match against Malaga before picking up an injury.
Problems for the second leg of the Champions League semi-final?
If you missed today's FA Cup semi-final - watch the winning moment here as Reading goalkeeper Adam Federici has a moment to forget.
Chelsea have now gone 12 games unbeaten; the current longest run in the top-flight.
This was the 102nd Premier League clean sheet Chelsea have kept under the stewardship of Jose Mourinho in 190 games.
Joshua Okumu: Chelsea played negative football and won. No wonder they didn't make it in Europe. Great football from United.
Jamie McKellar: Chelsea did what they had to do today, professional as ever! Harsh on Herrera mind
Arsenal are through to the FA Cup final for the second season in a row.
You can watch reaction to that and follow all of the punditry in a separate page - click here to follow action from Wembley.
Manchester United manager Louis van Gaal: "In my opinion it was the best performance we have had this season. We were not effective because we have created, despite the defensive organisation of Chelsea, three chances in the first half and eight in the second half.
"That is unbelievably good. We were the dominant team on the pitch but we lose. Everything is the result.
"Everybody can have his own opinion and the winner takes it all. It's a song, but it's like that.
"The title is not definitely gone because we can still win 15 points."
Chelsea boss Jose Mourinho: "Six games to play, three at home three away. Every game is difficult, every team needs points. But out situation is very good.
"It was difficult but less than you think. We prepared for the game to be like this. It was the game we wanted and expected. Control their direct football to Fellaini and control the wingers from making crosses on the inside foot. When we know Rooney plays in midfield we control his progression into the box. Control set-pieces and don't give away direct free-kicks as they have three specialists. Wait for a mistake and score a goal. It was what we wanted it to be. We are happy because the work we did in the week was what happened here.
"De Gea should see red because he had a handball outside the box. That is the only situation where he can speak. Apart from that the referee did a good job. [On the Herrera potential penalty incident] If it is Chelsea player nobody speak about anything else but diving for a week.
"I feel we are almost there but there are no almosts in football. We need eight points to be champions. It is pure mathematics."
Dave: Herrera the one creating the contact, not the other way round! No pen. Great call from the ref.
Critical Richard: De gea not sent off for clearly handling outside the area and yet its Chelsea who are lucky ... whatever makes you feel better
Steve Found: it's not Chelsea's fault that United couldn't beat a team with both preferred strikers out & played nearly twice as many games.
Top class interviews from both managers. Louis van Gaal declaring his side's performance the best of the season but Jose Mourinho insisting that the game was exactly as he planned.
Chelsea manager Jose Mourinho: "We need our points but if they come against teams in second or in third it helps us. Today we won three points and our direct opponent lost three points. We are focussed on us, we have six matches to play and we need eight points.
"The game was exactly the game we want. The only thing we couldn't do was to kill the game with a second goal. We were able to make their important players disappear. Nobody saw them. They were in our pockets.
"Football is talent but strategy is also important."
"Did it please you to win a game like that? "I love it."
Manchester United manager Louis van Gaal: "I am not frustrated I am proud. Why should I be frustrated? We played the best match of the season.
"In my opinion that is the main decision of the referee [the potential penalty incident involving Ander Herrera] Maybe you can watch the replays on television."
More from Wayne Rooney talking to BBC Sport:
"It was a very good performance. We dominated in terms of possession and chances but we didn't take any and it has cost us.
"We have dominated the champions in waiting. It was a good performance from the team.
"On another day we would score three or four goals. We knew we had the players who could dominate. We are proud of the performance.
"Chelsea know how to slow the game down and get the referee on their side, which they did today very well. They have won the game so I am sure they are going to be champions."
Louis van Gaal has a face of thunder and simply says: "It doesn't matter how I feel."
Full reaction to come.
Manchester United midfielder Wayne Rooney talking to Sky Sports:
"We dominated the game, had the best chances and we are a team that is improving. It was always going to be tough to win the title and today confirmed that.
"I am proud of the team that we dominated the game so much. It is probably the best performance of the season against the champions in waiting.
"We have had a lot of injuries. I have said before, if the manager wants me to play midfield I have no problem in doing that."
Manchester United have suffered more Premier League defeats against Chelsea than versus any other side (16).
The Red Devils have failed to score for the first time in 12 Premier League games and for only the second time in 2015.
Alexis Sanchez has just scored his second of the game to put Arsenal ahead in extra-time. A huge goalkeeping clanger too.
You can watch that game and follow minute-by-minute updates in a separate page - click here to follow action from Wembley.
Chelsea forward Eden Hazard talking to Sky Sports:
"It is always good to win against Manchester United. We have to win two or three more games.
"It was very difficult, they played very well. They are very big players and we are lucky to score maybe in the first half.
"I try to score, to create something and today I did very well. That's my job.
"We are close but it is not finished. In England you never know."
Chelsea captain John Terry talking to Sky Sports:
"It was a massive win and we are delighted with that ahead of Arsenal next week. They dictated the game better than we did.
"We have not been playing as well as we can of late but we have been grinding out results and we did that again.
"We were delighted to see Wayne Rooney in midfield. A phenomenal player and such a threat in that role behind the striker.
"We have dipped a bit but we are still picking up results and that is a sign of champions. It has been four years since we won the league and we are very determined. Still not done yet."