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AP EAMCET201822 Apr 2018Morning ShiftMathematicsThree Dimensional GeometryActual

If the orthocentre and the centroid of a triangle are (-3,5,2) and (3,3,4) respectively, then its circumcentre is

Options

  1. A(6,2,5)
  2. B(62,-5)
  3. C(6,-2,5)
  4. D(6,-2,-5)

Correct answer

A. (6,2,5)

Step-by-step solution

We know that, in a triangle, if O is orthocentre, G is centroid and S is circumcentre, then SG : G0 =1: 2 Let circumcentre be (x, y, z) . array ll & ( -3+2 x 1+2 , 5+2 y 1+2 , 2+2 z 1+2 )=(3,3,4) & ( -3+2 x 3 , 5+2 y 3 , 2+2 z 3 )=(3,3,4) & -3+2 x 3 =3, 5+2 y 3 =3, 2+2 z 3 =4 & x=6, y=2, z=5 & S(6,2,5) . array

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