Hello student yes private candidates of cbse are eligible to appear in VITEEE as its an recognised board. Eligibility criteria for VITEEE is candidates must passed or appearing class 12 with physics chemistry and mathematics with minimum 60 percent marks from a recognized board in case of sc St the minimum pass percentage is 50.
For more updates on VITEEE eligibility refer the link mentioned below.
https://www.google.com/amp/s/engineering.careers360.com/articles/viteee-eligibility-criteria/amp

Feel free to comment if you have any doubt
Good luck

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