The coordinates of the point P which divides the line segment joining A(1,-2,3) and B(3,4,-5) externally in the ratio 2:3 is

(9,2,-1)

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$P = (\frac{9}{5}, \frac{2}{5}, \frac{- 1}{5})$

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(-3,-14,19)

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$P = (\frac{3}{5}, \frac{14}{5}, \frac{- 19}{5})$

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Solution

The correct option is C
(-3,-14,19)

Let P(x,y,z) divide the line segment joining A(1,-2,3) and B(3,4,-5) externally in the ratio 2:3. Therefore,

$x = \frac{2 \times 3 + (- 3) \times 1}{2 + (- 3)} = - 3 y = \frac{2 \times 4 + (- 3) \times (- 2)}{2 + (- 3)} = - 14 z = \frac{2 \times (- 5) + (- 3) \times 3}{2 + (- 3)} = 19$

$P = (- 3, - 14, 19)$

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Similar questions

Which of the following statments are correct?

1. The coordinates of the point which divides the line segment joining the points

$(1, - 2, 3)$ and $(3, 4, - 5)$ internally in the ratio $2 : 3$ is $(- 3, - 14, 19)$ .

2. The coordinates of the point which divides the line segment joining the points

$(1, - 2, 3)$ and $(3, 4, - 5)$ externally in the ratio $2 : 3$ is $(\frac{9}{5}, \frac{2}{5}, \frac{- 1}{5})$ .

The ratio in which the point P(-3,y) divides the line segment joining the points A(-5,-4) and B(-2,3) is

P

(\frac{3}{4}, \frac{5}{12})

A

(\frac{1}{2}, \frac{3}{2})

(2, - 5)

(6, 3)

(- 4, 5)

3 : 2

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