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Question
Calculate the ratio in which the line joining A(6, 5) and B(4, –3) is divided by the line y = 2.
Solution
The co-ordinates of every point on the line y = 2 will be of the type (x, 2).
Using section formula, we have:
`y = (m_1 xx (-3) + m_2 xx 5)/(m_1 + m_2)`
`2 = (-3m_1 + 5m_2)/(m_1 + m_2)`
`2m_1 + 2m_2 = -3m_1 + 5m_2`
`2m_1 + 3m_1 = 5m_2 - 2m_2`
`5m_1 = 3m_2`
`m_1/m_2 = 3/5`
Thus, the required ratio is 3 : 5.
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