The basic criteria to pursue B.E/B.Tech in ME  is to have PCM in 12th as you are from the same background then you are eligible to pursue this course as there are many entrances available for the same like IIT-JEE, BITSAT, VIT, SRM, MUOET and state level entrances like IPUCET,MHTCET, KCET,KEAM etc as all have their own admission and eligibility criteria so you are advised to give IIT-JEE, your state entrance and private colleges entrances as few of them I am mentioning below -

https://engineering.careers360.com/articles/jee-main-eligibility-criteria

https://engineering.careers360.com/articles/jee-advanced-eligibility-criteria

https://engineering.careers360.com/articles/bitsat-eligibility-criteria

https://engineering.careers360.com/articles/viteee-eligibility-criteria

https://engineering.careers360.com/articles/srmjeee-eligibility-criteria

https://engineering.careers360.com/articles/mu-oet-eligibility-criteria

Also, please share if there is any particular entrance which you are aiming for?

Good Luck!!!