Real Madrid will definitely continue to try to win the title until the end of the season. But winning the La Liga title has now become difficult for Madrid. And a defeat against Barcelona in the last match makes the road to the title very difficult for Madrid. Madrid is now 12 points behind Barcelona. Barcelona needs to lose 4 matches and Real Madrid needs to win all the next matches to close this gap. Barcelona has lost just two of their 26 matches this season. I don't think they will lose 4 out of the next 12 matches. On the other hand, it is very unlikely that Real Madrid will win their next 12 matches.
The point gap Barcelona have against Real Madrid will be so difficult for Real Madrid even if they try so hard, I don't think Barcelona will be so weak to lose most of the remaining games left for it to be easy for Real Madrid to win the league. I don't think it will be possible for Real Madrid to meet Barcelona, it will be better they just concentrate on how to win the Champions league, the possibility of achieving this is low unlike the the laliga race.