(Q6)Find the trisectional points of line joining (2,6) and (-4,8).

Answer

A(2,6) and B(-4,8) be the given points

Let P,Q divide the line joining of AB in the ratio 1:2 and 2:1

Section formula(x,y)

= (
m1x2+m2x1
m1+m2
 ,
m1y2+m2y1
m1+m2
)

For P(x,y) the ratio 1:2

P(x,y)

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

For Q (x,y) the ratio 2:1

Q(x,y)

= (
2×(-)+1×
2+1
 ,
2×+1×
2+1
)
= (
-
3
 ,
3
)
= (-,
3
)
the points of trisection are (,
3
) and (-,
3
).