Q7 of 112 Page 146

Find the coordinates of the point which divides the line segment joining (–3, 5) and (4, –9) in the ratio 1: 6 internally.

Section Formula internally =


Where l = 1 and m = 6


A (–3, 5) and B (4, –9)


=


=


=


= (–2, 3)


Therefore, the coordinates of point which divides the line is (–2, 3)


More from this chapter

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5

Using the section formula, show that the points A (1,0), B (5,3), C (2,7) and D (–2, 4) are the vertices of a parallelogram taken in order.

 6

Find the coordinates of the point which divides the line segment joining (3, 4) and (–6, 2) in the ratio 3: 2 externally.

 8

Let A (–6, –5) and B (–6, 4) be two points such that a point P on the line AB satisfies AP = AB. Find the point P.

9

Find the points of trisection of the line segment joining the points A (2, –2) and B (–7, 4).