MathematicsIf arcs AXB and CYD of a circle are congruent, then which of the following is the ratio of AB and  ?

If arcs AXB and CYD of a circle are congruent, then which of the following is the ratio of AB and  ?


  1. A
    1:1
  2. B
    2:1
  3. C
    1:2
  4. D
    0  

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    Solution:

    Given:
    AXB  CYD are congruent arcs.
    Construct a figure with the given data,
    We know that,
    If two arcs are congruent then the respective chords will be equal.
    Thus, AB=CD.
    Hence, the ratio of AB and CD is 1:1.
    Therefore, option 1 is correct.
     
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