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AP EAMCET202319 May 2023Morning ShiftMathematicsThree Dimensional GeometryActual

The coordinates of the point which divides the line joining the points (2,3,4) and (3,-4,7) in the ratio 2: 4 externally is

Options

  1. A(10,1,1)
  2. B(1,10,1)
  3. C(10,-10,10)
  4. D(1,1,10)

Correct answer

B. (1,10,1)

Step-by-step solution

Coordinates of the point which divides the line joining the points (2,3,4) and (3,-4,7) in the ratio 2: 4 externally aligned & = ( 2(3)-4(2) 2-4 , 2(-4)-4(3) 2-4 , 2(7)-4(4) 2-4 ) & =(1,10,1) aligned

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