Distance Formula
1) Distance of a point p (x1, y1) from the origin O, is
2) Distance between two points A(x1,y1) and B(x2,y2) , is
Mid point formula
The midpoint of the segment between (x1,y1) and (x2, y2) is
Which is clear from the Figure 6 and Figure 7
Figure 7
Example Find the midpoint of the segment between (-8, 2) and (6, 4)
Solution : Let A(x1, y1) = (-8, 2) and C (x2, y2) = (6,4)
Let B (x, y) be the midpoint of the Segment AC then
Example Find the length of the median through A, for the triangle A(7, -3), B(3, -1) and C(5, 3).
Solution : Let D be the midpoint of BC. Then the co-ordinates of D are :
Hence, median
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Index
8.1 Definition 8.2
Relations, Graphs and Symmetry 8.3
Slopes and Intercepts
Chapter 9
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