(Q7)Find the trisectional points of line joining (-3,-5) and (-6,-8) .

Answer

Given A(-3,-5) and B(-6,8)

Let P and Q be the points of trisection of AB, then p divides AB in the ratio 1 and 2

P(x,y)

(
m1x2+m2x1
m1+m2
 ,
m1y2+m2y1
m1+m2
)
= (
1×(-)+2×(-)
1+2
 ,
1×(-)+2×(-)
1+2
)
= (
-
3
 ,
-
3
)

(-,-)

Q(x,y) divides AB in the ratio 2:1

Q(x,y)

= (
2×(-)+1×(-)
2+1
 ,
2×(-)+1×(-)
2+1
)
= (
-
3
 ,
-
3
)

=(-,-)

∴ The points of trisections are P(-4,-6) and Q(-5,-7).