Q4 of 23 Page 322

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

Since it is divided by the y – axis, ∴ the coordinate of that point will be –(0, y).

We know, By section formula



(Where, m and n are the ratios (internally), (x1, y1) and (x2, y2) are the coordinates of the line segment, and (0, y) are coordinates of dividing point .)


Now taking in consideration the equation for x one only –



⇒ m + n = – 9m + 7n


⇒ 10m = 6n



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


More from this chapter

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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)

 3

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

 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.

 6

If the point s (3, 2), (6, 3), (x, y) and (6, 5) when joined in order and form a parallelogram, then let us calculate the point (x, y)