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AP EAMCET202124 Aug 2021Evening ShiftMathematicsStraight LinesActual

The circumcentre of the triangle formed by the points A(1, 3 ), B(-1,- 3 ) and (3,- 3 ) is

Options

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

Correct answer

D. (1, -1 3 )

Step-by-step solution

Vertices of A B C are A(1, 3 ), B(-1,- 3 ) and C(3,- 3 )A B= 4+12 =4 aligned & B C= 4+12 =4 & A C= 4+12 =4 aligned Here, A B C is an equilateral triangle. Circumcentre of triangle is ( 1-1+3 3 , 3 - 3 - 3 3 )= (1, -1 3 )[ in equilateral triangle circumcentre and centroid coincide]

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