Hello,
The IITs, NITs and GFTIs offer the option to pursue a major in EEE and a minor in mechanical engineering. You can also go for private engineering colleges in India for major in EEE.
Here's the list

• Sharda University Greater Noida
• Manipal Institute of Technology
• LPU Jalandhar
• SRM University
• Galgotias University Greater Noida
• Chandigarh University

Please visit this link for a list of engineering colleges in India which offer Major in EEE https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/colleges/list-of-electrical-engineering-colleges-in-india&ved=2ahUKEwiSp-mNp7HrAhWSbn0KHTtMCDMQFjAKegQIAxAB&usg=AOvVaw2V_AKlKXncvGeY2XdqLZt6&cshid=1598185250650

Hope it helps

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