I wish to appear in GATE, Can anybody suggest if I should go for some coaching or study by myself, and if so , how should I start?

First of all do one thing just pick up last 10 year GATE question papers and solve 2 question paper daily on time basis, then analyse yourself after each paper , write down the topics in which you are lagging and unknown about. Now if you have around cutoff marks then prepare by yourself. Get help from your professor and youtube videos for preparation, I am sure you will have good score . But if you are far below cutoff then go out for good institute because GATE is really tough exam but possible to score if you are prepared well. you can also take help of online tutors from youtube free of cost . I had given GATE 2018 ECE by myself and I found that it really needs well preparation as well as guidance.