Question

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

Answer 1

Step-by-step explanation:

Given points are A(-4, 0) and B(0, 6)

Mid-point of A and B will be (x, y), then x=

2

−4+0

=−2

and y=

2

0+6

=3, therefore mid-point is (-2, 3).

Now mid-point of (-4, 0) and (-2. 3) will be

x

1

=

2

−4−2

=−3 and y

1

=

2

0+3

=

2

3

i.e.,(−3,

2

3

)

Again mid-point of (-2, 3) and (0, 6) will be

x

2

=

2

−2+0

=−1andy

2

=

2

3+6

=

2

9

i.e.,(−1,

2

9

)

Therefore three points are (−3,

2

3

),(−2,3),(−1, )

2

9