Multiple choice

A circle touches the hypotenuse of a right angled triangle at its middle point and passes through the middle point of the shorter side. If 3 unit and 4 unit be the length of the sides and 'r' be the radius of the circle, then the value of 'r' is -

  1. $\frac { 1 }{ 6 } $
  2. $\frac { 3 }{ 5 } $
  3. $\frac { 5 }{ 3 } $

  4. None of these
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