Hello Avinash,

Yes there is an entrance exam for BTech admissions in DU.This year intake in DU for BTech will be based on common exam called Delhi University Entrance Test (DUET). It's an offline  exam of 2 hours ,tentatively in third week of June. Total number of 40 seats will be offered to the shortlisted candidates for DU B.Tech 2019. Last year , total number of candidates registered for DU B.Tech were 19,485. You can also visit the following link for more detailed information:

https://www.google.com/amp/s/engineering.careers360.com/articles/du-btech/amp

I hope this helps. All the best.