Q18 of 66 Page 7

Find the ratio in which y-axis divides the line segment joining the points A(5,-6) and B(-1,-4). Also, find the coordinates of the point of division.(CBSE 2016)

From the condition given in the question the figure can be drawn as follows:


Let us assume,


AC: CB = m: n


= m: 1


∴Coordinates of C =


= ….(i)


As the point C lies on y-axis therefore


m = 5


Hence, required ratio = m: 1


= 5: 1


Now, putting the values of m and n in (i) we get:




The coordinates of the point C will be

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