Yes you are eligibel for wbjee exam and you are also applicabel for get gov engineering colleges.

But I don't have any West Bengal residential or domicile proof of West Bengal ?

Hii

You are Eligible for WBJEE 2019 but you need to have West Bengal Residential/ Domicile proof for Admission in Govt. Colleges.

Following is the Eligibility Criteria-

The candidates should have qualified his/ her 10+2 (or equivalent) examination with Physics and Mathematics along with any one of Chemistry/ Biology/ Biotechnology/ Computer Science/ Computer Application as compulsory subjects with individual passing marks (in both theory and practical wherever applicable) in all the three subjects mentioned above in regular class mode.

NOTE- As per the Criteria- There is no particular Residential/ Domicile requirement to appear in WBJEE 2019. However, the West Bengal Residential/ Domicile requirement is applicable for admission to any Government Engineering/ Technology colleges of the State as well for admission to any reserved category of seats in respect of any course in any of the enlisted University/ University Department as well as in any Engineering/ Technology college of the state.

All the best.