Question

Solve- In what ratio does the y-axis divide the line segment joining A(-4,1) and B (17,10)? ​

Answer 1

Step-by-step explanation:

Suppose x-axis divides PQ inthe ratio λ:1. Then, the coordinates of the point of division are

R(

λ+1

3λ−4

,

λ+1

−7λ+5

)

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

∴

λ+1

3λ−4

=0⇒3λ−4=0⇒λ=

3

4

Hence, the required ratio is

3

4

:1 i.e., 4:3

Putting λ=4/3 in the coordinates of R, we find that its coordinates are(0,

7

−13

).