Q1 of 184 Page 10

Find the coordinates of the point which divides the line segment joining the points (4,-3) and (8,5) in the ratio 3:1 internally.


Let P(x,y) be the point which divides the line segment internally.


Using the section formula for the internal division, i.e.


…(i)


Here, m1 = 3, m2 = 1


(x1, y1) = (4, -3) and (x2, y2) = (8, 5)


Putting the above values in the above formula, we get





⇒ x = 7, y = 3


Hence, (7,3) is the point which divides the line segment internally.


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1

Find the coordinates of the point which divides the line segment joining (2,4) and (6,8) in the ratio 1:3 internally and externally.

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Find the coordinates of the point which divides the join of (-1,7) and (4,-3) internally in the ratio 2:3.

 2

Find the coordinates of the points which trisect the line segment joining the points (2,3) and (6,5).

 2

Find the coordinates of the point of trisection of the line segment joining (1,-2) and (-3,4).