KVPY exam is a national level talent search exam that you can apply for in both class 11th and 12th. Since you are in 11th standard, you will be very much eligible for KVPY application this year. Just make sure that you visit their site regularly.
As far as I know, the last date for this year's KVPY application is on 31st August, 2020. So don't wait much if you are seriously interested.
11th is the best time to attend KVPY, always remember it. In 12th it becomes a bit harder.
Here you will find more - https://school.careers360.com/exams/kvpy
Hope this information helps you.
You can attempt Kvpy 2020 exam under SA stream which mainly consists of syllabus of 9th and 10th class. Application forms will be released in month of August. For more information you can go through the link given below