I am new in ios development. I have following questions:
performSelectorInBackground:Never. Do not use this method. It spawns an unbounded number of threads. Even before GCD was available, this was a horrible method.
performSelectorOnMainThread:Meh… Never, but just because it's inconvenient. There's nothing deeply wrong with this method. It's just not as useful as dispatch_async().
The difference between GCD and the old performSelector… methods (and NSThread in general) is that GCD manages a thread pool for you. In general, you should avoid manual threading in Cocoa. Instead, use NSOperationQueue or GCD (dispatch methods). They provide a more useful queue abstraction rather than forcing you to manually manage threads.
Be sure to read over Apple's Migrating Away from Threads for more info.