Find the coordinates of the point which divides the line segment joining the points (- 2, 3, 5) and (1, – 4,6) in the ratio 2 : 3 externally.

Find the coordinates of the point which divides the line segment joining the points (- 2, 3, 5) and (1, - 4,6) in the ratio 2 : 3 externally.

  1. A

    (- 8, - 17, 3)

  2. B

    (- 8, 17, 3)

  3. C

    (8, - 17, 3)

  4. D

    None of the above

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    Solution:

    Let the point C divides the line externally in the ratio 2:3.

    Here, the ratio is 2 :3.
    m=2,n=3
    The coordinates of point C

    =mx2nx1mn,my2ny1mn,mz2nz1mnC=2×(1)3×(2)(23),2×(4)3×3(23),2×63×5(23)=2+6(1),89(1),1215(1)=(8,17,3)

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