Question

The pt.
which divides the line segment
joining the points [-7,5] and (3, 4] in the ratio 2:1 internally lie in which quadrant.​

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

) internally 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

)=(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.