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JEE Math Practice Question

Let the line x+y=1 meet the circle $x^2+y^2=4$ at the points A and B. If the line perpendicular to AB and passing through the mid-point of the chord AB intersects the circle at C and D, then the area of the quadrilateral ABCD is equal to :

  1. A.$ \sqrt{14} $
  2. B.$ 3\sqrt{7} $
  3. C.$ 2\sqrt{14} $
  4. D.$ 5\sqrt{7} $

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