I've scored low marks in the state board examination but scored good marks in JEE, will I get admission over here?

Hello, Kindly visit on Shiksha college predictor: https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&ved=2ahUKEwjPs-iFqpTcAhWMRY8KHariB-kQFjAAegQIBBAB&usg=AOvVaw1N9BzFtyUCP4JU-2UQHQ0H.

10+2 score is only to fulfill the eligibility criteria, not a basis for admission. If you have scored well enough in JEE, you'll definitely get a college of your choice.

Yes, if your JEE marks and rank are good, then you can get admission there.

There is a scaling on the state board result in the final tally, thus, if you are eligible for the trade your JEE score will take lead over your board marks. More details can only be provided once you provide with your score and which state board you are talking about.