Q1 of 23 Page 322

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

Let the co-ordinates of the point which divides the line segment be (x, y) –

And, we know, By section formula



(Where, m and n are the ratios, (x1, y1) and (x2, y2) are the coordinates of the line segment.)




⇒ x = 10


And,




⇒ y = 8


∴ the co-ordinates of the point which divides the line segment joining two point s in the given ratio is (10, 8).


More from this chapter

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1

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

(5, 3) and (–7, –2); in the ratio 2: 3 internally

 1

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

(–1, 2) and (4, –5); in the ratio 3: 2 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)

 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).