if any mistakes were made in issue of X std certificate corrections have to be made within period of 2 years . if you fail to do so Board wont change your surname now . you need an order from court to correct your X std certificate .
how can board change surname ? if your birth certificate was showing Banerjee board would have given you X std certificate also in same name . as on date all your educational qualifications, pan card, employment records is in name of bandyopadhay continue with same surname only .
if your surname is bandyopadhay how is your wife and daughter surname Banerjee . better consult a local lawyer .