Earlier I used to stay separate with my wife and kids but now since some time my mother has come to stay in my house due to some health reasons . Now i do not have any separate room. This affects my privacy with my wife. I have a wajib duty to take care of my mother but also there is a body need too which needs to fulfil. I stay disturbed and cannot concentrate on my work and ibadat because of not having physical relationship with my wife. In this situation is it permissible to masturbate to relieve this problem .

Masturbation is not allowed. Try to devise a means of being with your wife alone for sometime. This could be sending mom to stay with a friend for few hours etc