Question

In what ratio does the x-axis intersect the join of A(-3, 2) and B(9,-4)? Find the co-ordinates of point of intersection.​

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 the required ratio be λ;1. Then, the coordinates of the point of division are,

R(

λ+1

5λ+2

,

λ+1

6λ−3

)

But, it is a point on x-axis on which y-coordinates of every point is zero.

∴

λ+1

6λ−3

=0⇒λ=

2

1

Thus,the required ratio is

2

1

:1or,1:2.

Putting λ=1/2 in the coordinates of R, we find that its coordinates are (3,0)

Answer 2

Answer:

Step-by-step explanation: