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AP EAMCET20228 Jul 2022Morning ShiftMathematicsStraight LinesActual

If G (2,-1,2) is the centroid of tetrahedron OABC where O =(0,0,0) and G ₁ is the centroid of ABC , then | O G₁ |=

Options

  1. A1
  2. B3 2
  3. C4
  4. D9 2

Correct answer

C. 4

Step-by-step solution

aligned & Now a 4 =2 a=8 & b 4 =-1 b=-4 & c 4 =2 c=8 aligned aligned & G , ( 8 3 , -4 3 , 8 3 ) & b = a + c 2 aligned ( A 2 ) ( c 2 )= [ ( A 2 ) ( A 2 ) ] [ ( c 2 ) ( c 2 ) ] ( A 2 ) ( c 2 )= [ 2 ( A 2 ) ( A 2 ) 2 ^2 ( A 2 ) ]

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