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MHT CET202411 May 2024Morning ShiftMathematicsThree Dimensional GeometryActual

The plane 2 x+3 y+4 z=1 meets X -axis in A , Y -axis in B and Z -axis in C . Then the centroid of A B C is

Options

  1. A(2,3,4)
  2. B( 1 2 , 1 3 , 1 4 )
  3. C( 1 6 , 1 9 , 1 12 )
  4. D( 3 2 , 3 3 , 3 4 )

Correct answer

C. ( 1 6 , 1 9 , 1 12 )

Step-by-step solution

Note that aligned & A ( 1 2 , 0,0 ), B (0, 1 3 , 0 ), C (0,0, 1 4 ) & Cendroid = ( 1 2 +0+0 3 , 0+ 1 3 +0 3 , 0+0+ 1 4 3 ) &= ( 1 6 , 1 9 , 1 12 ) aligned

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