Question

Calculate the ratio in which the line joining A(6, 5) and B(4, –3) is divided by the line y = 2.

Answer 1

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.