Henrik Larsson capped his last competitive game at Celtic Park in fitting style with the two winning goals against Dundee United.
Henrik Larsson shows great emotion after scoring
The Swede, coming to the end of seven goal-filled years with Celtic, missed a number of chances before heading home an Alan Thompson free-kick.
He added the second two minutes later, deflecting home a Didier Agathe cross played across the face of goal.
United replied from the penalty spot through Mark Wilson.
Martin O'Neill opted to name his strongest possible line-up for their final league match of the season in preparation for next week's Scottish Cup final against Dunfermline.
That meant the Scottish champions made seven changes from the side that drew at Motherwell in midweek, among them being Larsson.
United made just one change from the 11 that beat Dunfermline, with Craig Easton also saying farewell to his club, in place of Derek McInnes.
The visitors came close to an early lead after goalkeeper David Marshall failed to hold a Barry Robson corner.
Didier Agathe blocked Collin Samuel's goalbound shot and then Chris Sutton diverted Charlie Miller's follow-up behind.
Paul Gallacher pulled off an excellent, one-handed save after Larsson rose unchallenged to head towards goal from 10 yards.
The goalkeeper also stood up to palm away a close-range drive from Stephen Pearson, who had been set up by Larsson.
Larsson made room for himself but screwed his right-footed shot wide of the post.
Gallacher was again the United hero, pushing Jackie McNamara's low long-range effort behind.
Larsson twice came close to breaking the deadlock after the break but had a couple of efforts deflected wide.
United should have taken the lead when Charlie Miller failed to connect properly 12 yards in front of goal and, when it fell to Collin Samuel, the striker saw his bobbling effort cleared off the line by Stilian Petrov.
Larsson twice blasted over from inside the six-yard box, while Marshall frustrated United with a point-blank save from Robson.
But Thompson swung in the free-kick and Larsson got ahead of Gallacher to head into an empty net.
Larsson grabbed his second with just six minutes left to divert Agathe's cross past Gallacher.
Varga gave away a penalty moments later after a foul on Jason Scotland and Wilson sent Marshall the wrong way.
Celtic: Marshall, Balde, Varga, McNamara, Agathe, Lennon, Petrov, Pearson, Thompson, Larsson, Sutton.
Subs: McGovern, Lambert, Wallace, Beattie, Mjallby.
Dundee Utd: Gallacher, Innes, McCracken, Archibald, Wilson, Kerr, Miller, Easton, Robson, Samuel, Scotland.
Subs: Bullock, Duff, James Paterson, Scott Paterson, Holmes.
Referee: J Underhill