Question

The point which divides the line segment joining the points (8, – 9) and (2, 3) in ratio 1 : 2 internally lies in the 
a) I quadrant 
b) II quadrant 
c) III quadrant 
d) IV quadrant​

Answer 1

d) IV quadrant

by using section formula we find the coordinates

x=6,y=-5 which lies in IV quadrant..

Answer 2

Given :  point   divides the line segment joining the points (8, - 9) and (2, 3) in ratio 1:2 internally

To find : in which Quadrant point lies

Solution:

1st find the coordinates of point which divides the line segment joining the points (8, - 9) and (2, 3) in ratio 1:2 internally

x =  ( 1 * 2 +  2 * 8)/(1 + 2)  

= (2 + 16)/3

= 18/3

= 6

y = ( 1 * 3  + 2*(-9))/(1 + 2)

= ( 3 -18)/3

=-15/3

= -5

(6 , - 5)  is the point which divides the line segment joining the points (8, - 9) and (2, 3) in ratio 1:2 internally

x is + ve  & y is - ve

Hence point lies in 4th Quadrant

1st Quadrant  x + ve , y + ve

2nd Quadrant  x  - ve , y  + ve

3rd Quadrant  x  - ve  , y - ve

4th Quadramt  x  + ve  , y - ve

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