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NDA2021MathematicsThree Dimensional GeometryActual

The x y -plane divides the line segment joining the points (-1,3,4) and (2,-5,6)

Options

  1. Ainternally in the ratio 2: 3
  2. Binternally in the ratio 3: 2
  3. Cexternally in the ratio 2: 3
  4. Dexternally in the ratio 2: 1

Correct answer

C. externally in the ratio 2: 3

Step-by-step solution

P(x, y, z)= 2 k-1 k+1 , -5 k+3 5+1 , 6 k+4 k+1 Point P(x, y, z) lies in x y -plane z=0 6 k+4 k+1 =0 k=- 2 3 Externally in the ratio 2: 3 .

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