Q3 of 23 Page 322

Let us calculate the ratio in which the point (1, 3) divides the line segment joining the point s (4, 6) and (3, 5).

We know, By section formula



(where, m and n are the ratios(externally), (x1, y1) and (x2, y2) are the coordinates of the line segment, and (x, y) are coordinates of dividing point .)


Now taking in consideration the equation for x one only –



⇒ m – n = 3m – 4n


⇒ 3n = 2m



⇒ (1, 3) divides the line segment joining the point s (4, 6) and (3, 5) in the ratio 3: 2 externally.


More from this chapter

All 23 →
1

Find the co-ordinates of the point which divides the line segment joining two point s in the given ratio for the following:

(3, 2) and (6, 5); in the ratio 2: 1 externally

 2

Find the co-ordinates of mid-point of line segment joining two point s for the following

(i) (5, 4) and (3, –4)


(ii) (6, 0) and (0, 7)

 4

Let us calculate in what ratio is the line segment joining the point s (7, 3) and (–9, 6) divided by the y – axis.

 5

Prove that when the point s A (7, 3), B (9, 6), C (10, 12) and D (8, 9) are joined in order, then they will form a parallelogram.