MathematicsState true of false.If BM and CN are the perpendiculars drawn on the sides AC and AB of the triangle ABC, then the points B, C, M and N are concyclic.

State true of false.


If BM and CN are the perpendiculars drawn on the sides AC and AB of the triangle ABC, then the points B, C, M and N are concyclic.


  1. A
      True
  2. B
      False 

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    Solution:

    Given that,  BM   and CN   are the perpendiculars drawn on the sides AC   and AB   of triangle ABC.   Let us assume the diameter BC   of a circle and, since we know that diameter BC   of the circle makes 90 °   to the circle. Thus, points M and N   must be on a circle and  BCMN   form a concyclic quadrilateral.
    Hence, option 1 is true and the statement is true.
     
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