Question
In what ratio does the point (-4, 6) divide the line segment joining the points A(-6, 10) and B(3, -8)?
✓
Answer
Let (-4, 6) Divide AB internally in the ratio k : 1 using three section formula, we get $(-4,6)=\Big(\frac{3\text{k}-6}{\text{k}+1},\frac{-8\text{k}+10}{\text{k}+1}\Big)$ So, $-4=\frac{3\text{k}-6}{\text{k}+1}$ i.e., -4k - 4 = 3k - 6i.e., 7k = 2
i.e., k : 1 = 2 : 7
You check for the y-coordinate also, So, the point (-4, 6) divides the line segment joining the points A(-6, 10) and B(3, -8) in the ratio 2 : 7.
i.e., k : 1 = 2 : 7
You check for the y-coordinate also, So, the point (-4, 6) divides the line segment joining the points A(-6, 10) and B(3, -8) in the ratio 2 : 7.
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