Find the coordinates of the point which divides the line segment joining (-3, 5) and (4, -9) internally in the ratio 1 : 6.

(-2, -3)

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(2, 3)

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(-2, 3)

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(2, -3)

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Solution

The correct option is C (-2, 3)
Let P(x,y) divide the line joining (-3, 5) and (4, -9) internally in the ratio 1 : 6.
Thus, by secton formula,
$P (x, y) = \frac{(4 - 18)}{7}, \frac{(- 9 + 30)}{7} = (- 2, 3)$

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