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Question
Calculate the co-ordinates of the point P which divides the line segment joining: A (1, 3) and B (5, 9) in the ratio 1 : 2
Solution
Let the co-ordinates of the point P be (x, y)
`x = (m_1x_2 + m_2x_1)/(m_1 + m_2)`
= `(1 xx 5 + 2 xx 1)/(1 + 2)`
= `7/3`
`y = (m_1y_2 + m_2y_1)/(m_1 + m_2)`
= `(1 xx 9 + 2 xx 3)/(1 + 2)`
= `15/3`
= 5
Thus, the co-ordinates of point P are `(7/3, 5)`
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