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COMEDK2017MathematicsProperties of Triangles

The sides of a triangle are x=2, y+1=0 and x+2 y=4 . Its circumcentre is

Options

  1. A(4,0)
  2. B(2,-1)
  3. C(0,4)
  4. D(2,3)

Correct answer

A. (4,0)

Step-by-step solution

The vertices are (2,-1),(6,-1),(2,1) forming a right angled triangle. Circumcentre is the mid-point of the hypotenuse, i.e., ( 6+2 2 , 1-1 2 )=(4,0)

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