You have to file an application before the CBSE to rectify mistake based on your birth certificate since still there is time for rectification as you passed this year then in that case they shall rectify. Further in 10th mark sheet they shall not rectify as limitation is one year. In case they deny then you have to file a writ petition in the high court seeking direction for the CBSE to rectify the birth date as per the birth certificate.
http://cbse.nic.in/faq/revised_dob_name_corr_rules_2015.pdf
http://cbse.nic.in/newsite/forms.html