Their reward will be a return to Hampden, for the Scottish Cup final against Motherwell in late May.
Dembele set the tone for the afternoon when he crashed a volley on to the post after five minutes, connecting with Ntcham's floated cross, but Rangers held out until they allowed Rogic to control the ball and turn his man inside the penalty area before side-footing the ball into the bottom-right corner after 22 minutes.
He said: "I'm not going to talk about my role". This is the worst I have ever felt in my career, without a doubt. In the first half we played well, scored two very good goals and had good composure. 'I don't think we got close enough to them.
However, asked if he had a message for the supporters, the former Gers under-20s boss said: "I would apologise to them for the game".
'We have to put a performance on worthy of their support.
Super sub Giroud & Burnley match class of 1968 - best Premier League stats
They all have their players that can have a big influence, but he's really developed as a player in the last few seasons. The draw is a shorter price at [3.5] but only one of Crystal Palace's last seven games have ended in a stalemate .
"Everyone will tell you it's one game at a time but we are well aware now that there is a possibility for that and we are going to give it everything we have between now and the end of the season to get that".
"We were just passive".
Although he didn't get himself on the scoresheet, Celtic captain Scott Brown played a blinder in central midfield. I completely understand his frustration, but I was reacting to a situation in the game and I was looking at a different shape to the team.
"There was anger, frustration, all the sorts of emotion you would expect from a changing room that has just gone through that", he said. "That's what we aim to do in every game and we did that easily today". "But we didn't do enough for them to want to stay in the stadium today".
"Andy's frustrated, but I'll see him in the week and have a chat and take things from there".
"There are big games ahead of us and we have to get a response between now and the end of the season if we want to finish as we should".