Is it normal to hate my mum?

I bet by the title, you can already guess that I hate my mother. To be honest, I've never loved her even since the earliest of the first memories I can recall. She is so irritating and constantly insults me yet I get into trouble when I defend myself. For example, my mum called me a cunt and thick as pigs shit while we were shopping, so I retaliated by saying it was better than being her, yet she kicked me out of the car even though it was late out. She has no problems in putting me down or favouring my brothers as they rarely get picked on as much me (my brother smashed up his computer and didn't even get yelled at???) But if I defend myself, I get a list of punishments. I've talked to people about this before and they say that really she loves me and she's my only mum I'll ever have, but I truly hate her. For the past few years all we seem to do is yell at each other, we never greet each other, heck I don't think I've ever hugged my mum and said I love you and vice versa. I'm sick of living with her and I hate her so much for the way she raised me and treated me, mocking me as a child until now because I like history and documentaries, yet she is not academic in any sense considering she never went to college and failed high school, but still has the audacity to berate me on wanting a good eduction.
I need to know if its right to hate my mum because people keep saying I shouldn't, but I can't help it considering the way she talks to me, as if she's expecting not to get any agro back.