Coordinate Geometry
• Section formula:
The co-ordinates of the point P (x,y), which divides the line segment joining the points A (x1, y1) and B (x2, y2) internally in the ratio m:n, are given by:
Example: In what ratio does the point (–4, 7) divide the line segment joining the points P (–1, 1) and Q (–6, 11).
Solution: Let the point (–4, 7) divide the line segment joining the points P (–1, 1) and Q(–6, 11) in the ratio λ : 1.
Thus, by section formula, we have:
Therefore, the required ratio is 3:2.
• The mid-point of the line segment join…
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