Question

:The point which divides the line segment joining the points (7, –6) and (3, 4) in ratio 1 : 2 internally lies in the ​

Answer 1

Answer:

CORRECT OPTION IS IV QUADRANT

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