Hello Raajeswari,
Yes
Most of the private college take admission through JEE main .
But VIT take admission through VITEEE for Chennai campus . For taking admission in VIT you don't necessarily sit for Jee main.
Some colleges also take admission through their own entrance exam such as VITEEE ,SRM JEE, AMITY JEE,etc.
But these institutions also have some seats through Jee . You can search about number of seats through Jee on their official website.
You can take in state or out state admission on the basis of Jee main score.
Generally institution release their cutoff for taking admission in their institutions after April Jee main result.
Some institutions also take admission on the basis of state entrance exam .
Means most private institutions take admission through two ways 1. Through jee main 2 through state entrance exam.
If you have any questions remain than comment below.
Regards...

VIT is an independent institute.To get admission in VIT you will have to appear the examination conducted by VIT itself.You cannot get admission in VIT from your JEE Mains marks.

And if you wish to get any other private college please tell you JEE percentage so that we can give you your answer.

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