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The Amsterdam giants went into the match on an 11-game winning streak after beating Lille in the Europa League in midweek, but a point was an excellent result for Erik ten Hag's side, who also have a game in hand.
PSV, without a win over their rivals since September 2018, took the lead six minutes before half-time through Eran Zahavi's excellent free-kick.
Olivier Boscagli and Philipp Max both wasted opportunities to double the hosts' advantage, while PSV substitute Yorbe Vertessen had a goal ruled out by VAR with 12 minutes remaining for handball.
Full-back Denzel Dumfries was penalised for handling in added time and Tadic stepped up to score his 16th goal of the season.
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Ajax are bidding for a second straight league title after their triumph in 2019, with last season ended early and no trophy awarded due to the coronavirus pandemic.
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