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AP EAMCET202023 Sep 2020Morning ShiftMathematicsThree Dimensional GeometryActual

If P ( - 3 , - 2 , 4 ) , Q ( - 9 , - 8 , 10 ) and R ( - 5 , - 4 , 6 ) are collinear, then the ratio in which R divides P Q is

Options

  1. A1   :   2
  2. B2   :   1
  3. C3   :   1
  4. D1   :   3

Correct answer

A. 1   :   2

Step-by-step solution

Use section formula ⇒ - 5 = - 9 λ - 3 λ + 1 ⇒ - 5 λ - 5 = - 9 λ - 3 ⇒ 4 λ = 2 ⇒ λ = 1 2 1 : 2

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