Question

A line joining (4,7) and (3,-4)points intersects the x-axis in the ratio of-​

Answer 1

Answer:

dont know the ans but liked the question

Answer 2

Answer:

Take this type example

Step-by-step explanation:

We know that if a line joining the points A(x

1

​

y

1

​

) and

B(x

2

​

,y

2

​

) is divided by a point 0(x,y) in

the ratio m:n, then x=

m+n

mx

2

​

+nx

1

​

​

and

y=

m+n

(my

2

​

+ny

1

​

)

​

Hence A(3,−4) & B(−5,6) are points on a line which is divided by a point on x-axis, then the coordinates of the point will be C(x,0).

Since the point lies on x axis its y coordinate is 0

Let C divide live joining AB in the ratio k:1

⇒0=(

k+1

k×6+1×−4

​

)

⇒ 6k-4=0

⇒6k=4

⇒k= 2

​

Hence the ratio in which x axis divide line joining points AB is 2:3