Question

find the coordinates of the points which divide the line segment joining the point (a) A(2,-3)&B(5,6) in the ratio 2:3 (b) A(-2,-3)&B(3,7) in the ratio 7:2.

Answer 1

(a) A(2,-3)&B(5,6) in the ratio 2:3

x= (m*x2 + n*x1)/(m+n)

x=(2*5 + 3*2)/5

x=(10+6)/5

x=16/5

y= (m*y2 + n*y1)/(m+n)

y= (2*6 - 3*3)/5

y= (12-9)/5

y= 3/5

(x,y) = (16/5,3/5)

(b) A(-2,-3)&B(3,7) in the ratio 7:2

x= (m*x2 + n*x1)/(m+n)

x= (7*3 - 2*2)/9

x= 17/9

y= (m*y2 + n*y1)/(m+n)

y= (7*7 - 2*3)/9

y= 43/9

(x,y) = (17/9,43/9)