GATE

For admission in M.Tech Textile Technology, you need to appear for TANCET exam.
Refer the link for details: https://www.shiksha.com/engineering/course/m-tech-in-textile-technology-alagappa-college-of-technology-anna-university-guindy-chennai-297122

Please mention the name of the university / college in which you are trying to seek admission for M.Tech for better assistance.

Yes, GATE is for pursuing pursue Masters in the same branch which you opted in B.Tech. So, you can take GATE for EEE branch only.

It varies from college to college. Even if you just qualify GATE you can get admission in any institute.

If you give your 100% and work really hard, you can definitely crack GATE within 6 months. You should get a good private tutor to guide you and give online mock tests for GATE to know how is your preparation. There are many books available in the market. Select the best suited for you. Study at least 10 hours a day. This all will lead you to reach your goal surely.
All the very best.

Hi dear,
Yes, indeed you can do jobs after qualifying GATE with a good rank. Through GATE, you can do research, M.Tech, join PSUs and lot more. Sometimes, companies select you based on GATE rank and help you complete your higher studies and then hire you.

Yes, the college provides GATE coaching to its students.

There is no restriction or bar on the number of times you can appear for the GATE exam.

In 2017 only 16% of the total students who sat for the examination were selected.
Actually it depends upon the minimum aggregate marks and total number of students writing the examination.