Yes you are eligible for Government Sector Jobs after completing B.Tech from Karnataka State Open University through Distance learning .. to apply for government job exams you must pass graduation degree from any recognized college in India .

You can apply for following job exams :
CDS
IPS
IES
IAS
Civil service exam
SSC CGL
Railway exams
Bank PO exam
Bank Clerk exam
Indian Railway under Signal Section
BSNL (Bharat Sanchar Nigam Limited)
ISRO (Indian Space Research Organization)
DRDO (Defense Research and Development Organization)
ECIL (Electronic Cooperation of India Limited)
AAI (Airport Authority of India)
SAIL (Steel Authority of India)