Question

In what ratio does y-axis divide the line segment joining the points (−4, 7) and (3, −7)? [CBSE 2012]

Answer 1

Let y-axis divides the line segment joining the points (−4, 7) and (3, −7) in the ratio k : 1. Then
$$\begin{gathered} 0=\frac{3k\mathit{-}4}{k+1} \\ \Rightarrow 3k=4 \\ \Rightarrow k=\frac{4}{3} \end{gathered}$$
Hence, the required ratio is 4 : 3.