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      Question

      Which of the following is a correct

      statement?
      A The sum of the angles of a cyclic quadrilateral is always 180Β° Correct Answer Incorrect Answer
      B Equal chords are equidistant from the centre of the circle but not always subtend equal angle at centre of the circle Correct Answer Incorrect Answer
      C If two circles touch each other, the point of contact lies on the line joining the two centres. Correct Answer Incorrect Answer
      D Angles subtended by the arc in the same segment of the circle are in ratio of 2 : 1. Correct Answer Incorrect Answer

      Solution

      ATQ,

      Sum of all angles of a cyclic quadrilateral = 360Β°, not 180Β° β†’ False Equal chords are equidistant and subtend equal angles β†’ False Touching circles: point of contact lies on line joining centers β†’ True Angles in the same segment are equal (ratio 1:1), not 2:1 β†’ False

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