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JEE Math Practice Question

If two parallel chords of a circle, having diameter 4units, lie on the opposite sides of the center and subtend angles $${\cos ^{ - 1}}\left( {{1 \over 7}} \right)$$ and sec$$-$$1 (7) at the center respectivey, then the distance between these chords, is :

  1. A.$${4 \over {\sqrt 7 }}$$
  2. B.$${8 \over {\sqrt 7 }}$$
  3. C.$${8 \over 7}$$
  4. D.$${16 \over 7}$$

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