Hello Anamika, Greetings!
In government sector, ECE branch has a separate paper in IES exam. Vacancies are spread throughout India. Apart from this, PSU are taking students via GATE exam for ECE branch. Some of them are - ISRO, DRDO, HAL, BARC, BEL, BHEL etc.
Private sector companies that recruit ECE students are Analog devices, NXP semiconductors, ATMEL, microchip, Infineon technologies, einfochips, Sertel electronics, Maxim etc.
Thank you, best of luck.
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