Question

In what ratio is the line joining the points (-2,-3) and (5,6) is divided by the y axis?​

Answer 1

Answer:

ANSWER

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

)

Substituting (x

1

,y

1

)=(2,−3) and (x

2

,y

2

)=(5,6) in the section formula,

we get the point (

m+n

m(5)+n(2)

,

m+n

m(6)+n(−3)

)

Since the point of intersection lies on the x - axis, y - coordinate =0

m+n

6m−3n

=0

=>6m−3n=0

=>6m=3n

2m=n

=>m:n=1:2

Let the line joining points A (2, −3) and B (5, 6) be divided by point P (x, 0) in the ratio k : 1. Thus, the required ratio is 1: 2.

Answer 2

Step-by-step explanation:

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