Hello Chandni Mandani

Yes you should take care about your full name. You should not change your name. If you change your name it will not vaild. The name which you given in your 10 and as well as in 12 same name should be given. If you change the name you may arise a problem at the time of certifcate verification. They may accept may not accept it. You take care while apply the exams. 

Hope this will helpful

Good Luck...