Question

The point which divides the lines segment joining the points (7,-6) and (3, 4) in
ratio 1:2 internally lies in the
(a) I quadrant
(b) Il quadrant
(c) III quadrant
(d) I quadrant​

Answer 1

Step-by-step explanation:

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

points (x ,y ) and (x,y) intternally in the

1,. 1

ratio m:n, then (x,y)=( mx + nx ). my +,y

2 1 ,

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

Substituting (x

1

,y

1

)=(7,−6) and (x

2

,y

2

)=(3,4) and m=1,n=2 in the section formula, we get

the point (

1+2

1(3)+2(7)

,

1+2

1(4)+2(−6)

)=(

3

17

,

3

−8

)

Since, x− cordinate is positive and y− cordinate is negative, the point lies in the IV quadrant.