CBSE BoardEnglish MediumSTD 10MathsCoordinate Geometry2 Marks
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 the section formula, we get $( - 4,6 ) = \left( \frac { 3 k - 6 } { k + 1 } , \frac { - 8 k + 10 } { k + 1 } \right)$ So, $- 4 = \frac { 3 k - 6 } { k + 1 }$ i.e., -4k - 4 = 3k - 6 i.e., 7k = 2 i.e., k:1 = 2:7 The same can be checked for the y-coordinate also. Therefore, the ratio in which the point (-4,6) divides the line segment AB is 2: 7.
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