Question

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

Answer 1

Answer:

A(2,6) B(_4,8)

AB line segment divided ratio into 1:2

section formula

p(xy)=(M1x2 +M2x1/M1+M2,M1y2+m2y1/m1+m2

m1:m2=1:2

1(_4)+2(2)/1+2,1(8)+2(6)/1+2

_4+4/3,8+12/3

(0,20/3)

Qdivides ratio 2:1

m1:m2=2:1

2(_4)+1(2)/2+1,2(8)+1(6)/2+1

_8+2/3,16+6/3

-6/3,22/3

(-2,22/3)

trisectional points are P(0 20/3)and Q(-2,2/3)