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AP EAMCET202422 May 2024Evening ShiftMathematicsThree Dimensional GeometryActual

If A =(1,2,3), B =(3,4,7) and C =(-3,-2,-5) are three points then the ratio in which the point C divides AB externally is

Options

  1. A2: 3
  2. B3: 2
  3. C4: 3
  4. D3: 4

Correct answer

A. 2: 3

Step-by-step solution

A =(1,2,3), B =(3,4,7) and C =(-3,-2,-5) Let ratio be k : 1 C (-3,-2,-5)= ( 3 k-1 k-1 , 4 k-2 k-1 , 7 k-3 k-1 ) On comparing, 3 k-1 k-1 =-3 k= 2 3 Required ratio =2: 3

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