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Question
Calculate the co-ordinates of the point P which divides the line segment joining: A (–4, 6) and B (3, –5) in the ratio 3 : 2
Solution
Let the co-ordinates of the point P be (x, y).
`x = (m_1x_2 + m_2x_1)/(m_1 + m_2)`
= `(3 xx 3 + 2 xx (-4))/(3 + 2)`
= `1/5`
`y = (m_1y_2 + m_2y_1)/(m_1 + m_2)`
= `(3 xx (-5) + 2 xx 6)/(3 + 2)`
= `(-3)/5`
Thus, the co-ordinates of point P are `(1/5, (-3)/5)`
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