Question

In what ratio does the y - axis divide the segment joining A(3,5), B(-6, 7)? Find the coordinates of the point of division.​

Answer 1

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

Let

y -axis divides PQ in the ration k:1.

Then, the coordinates of the point of division are R(

k+1

3k−4

,

k+1

7k+5

)

Since, R lies on y -axis and x-coordinate of every point on y4 -axis is zero.

∴

k+1

3k−4

=0

⇒3k−4=0

⇒k=

3

4

Hence, the required ratio is

3

4

:1 i.e., 4: 3

∴R(

k+1

3k−4

,

k+1

7k+5

)=(0,

7

−13

)