A) 1:5
B) 5:1
C) 2:4
D) None of these
Correct Answer: B
Solution :
Let AB be the given line segment with end points A(5, - 6) and B (- 1, - 4). Also, let y-axis divides AB in the ratio k: 1 at point P. |
Then, by using section formula, Coordinates of |
\[P=\left( \frac{-k+5}{k+1},\,\frac{-4k-6}{k+1} \right)\] ...(1) |
Since, on the Y-axis, abscissa is 0. |
So, x-coordinate of P will be zero. On equating x-coordinate of P to 0, we get |
\[\frac{-k+5}{k+1}=0\] |
\[\Rightarrow \,\,\,-k+5=0\,\,\Rightarrow \,\,k=5\] |
Thus, the required ratio is 5 : 1. |
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