Admission in class xi in two different school

Inform your "far" school to issue TC in favour of "near" school.

It is not a legal query and this platform is not a inquiry site.

If you have surrendered your TC and original certificate of 10th it may pose problems.

If your tenth and it was submitted to your new school, absolutely there is no problem.

TC is a mere technicality in getting admission. Once the admission has been finalised, the issue is of no consequence. All that matters is the course certificates and the marksheets.