The official URL for Karnataka Common Entrance test is www.kea.kar.nic.in
you can apply through this link and give the entrance exam but this exam is mostly for Karnataka students.
Best of Luck
URL for kcet details is www.kea.kar.nic.in
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http://www.kea.kar.nic.in you can visit this link and apply for this entrance exam.For some more information you can checkout this website.All the best!