give a colleges for b tech my rank is 87030

With an All India Rank of 87030 in JEE Main 2024 you have multiple options for engineering colleges in India.

1.some branches of NITs(National Institute of technology) and IITs (Indian Institutes of information technology )  which have less demand

2.State government engineering colleges , they have relatively lower cut off than IITs and NITs.

3.you can also go for private colleges . Some of the well known engineering colleges are Manipal Institute of technology  Manipal, SRM Institute of science and technology Chennai, Thapar Institute of Engineering and technology Patiala, Amity university Noida

BITS Pilani is also an option but you need to clear it's entrance exam for admission ie. BITSAT.