No, watching TV too close will not damage your eyes. While many people like your mother say it does harm to your eyes when sitting closer than necessary to the television, but the truth is that it will not damage your eyes. Generally speaking, sitting too close to watch TV may give you a headache, but it will not damage your vision. Because Modern TVs do not emit harmful radiation, so eye damage due to radiation is also not an issue. As with sitting too close to the television, you may get a headache from reading in the dark and eye strain, but it will not weaken your sight. Next time, when your mother tells you again, I think you can tell her.