This is not a news article, strictly speaking. But you may find this piece of advice from The Telegraph enlightening if you're concerned about harmful radioactive rays emitted from television sets.
Legacy CRT displays operate in a different manner compared to LCD or Plasma panels. Older CRT televisions emit levels of gamma radiation, or X-rays, due to the TV's use of electron beams. Then again, they are too insignificant to cause any adverse health problems. Present day LCD and Plasma do not produce X-rays. However, they do emit low levels of electromagnetic radiation.
It's contentious if these non-ionising forms of radiation are truly harmful to viewers, though many generally agree they are harmless as well.
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Source: The Telegraph