MathematicsState true or false.Through three collinear points, a circle can be drawn.

State true or false.


Through three collinear points, a circle can be drawn.


  1. A
    True
  2. B
      False. 

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    Solution:

    Given that through three collinear points, a circle can be drawn.
    Three provided non-collinear points are connected by a single, unique circle.
    There is only one circle that can travel through the three non-collinear points that are given. Thus, if there are three noncollinear points, any circle can be drawn. Collinear points travel over a single line which makes it impossible to build a circle with them.
    So, statement is false, through three collinear points, a circle cannot be drawn.
    Hence, option 2 is correct.
     
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