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MHT CET202122 Sep 2021Evening ShiftMathematicsStraight LinesActual

If G (4,3,3) is the centroid of the triangle ABC whose vertices are A ( a , 3,1), B (4,5, ~b ) and C (6, c , 5) , then the value of a , b , c are

Options

  1. Aa=1, b=2, c=3
  2. Ba=3, b=2, c=1
  3. Ca=2, b=1, c=3
  4. Da =2, ~b =3, c =1

Correct answer

D. a =2, ~b =3, c =1

Step-by-step solution

We have vertices A ( a , 3,1) ; B (4,5, ~b ) ; C (6, c , 5) and G (4,3,3) of ABC a +4+6 3 =4, 3+5+ c 3 =3, 1+ b +5 3 =3 a =2, c =1, ~b =3

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