Question:
In what ratio does y-axis divide the line segment joining the points (−4, 7) and (3, −7)?
Solution:
Let y-axis divides the line segment joining the points (−4, 7) and (3, −7) in the ratio k : 1. Then
$0=\frac{3 k-4}{k+1}$
$\Rightarrow 3 k=4$
$\Rightarrow k=\frac{4}{3}$
Hence, the required ratio is 4 : 3.
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