Question

define points of trisection find the points of trisection joining the points (2,6) (-4,8)​

Answer 1

Answer:

there are two cases

let us take a line segment AB

let the points p,q points of trisection AB

AP=PQ=QB

case 1: p divides AB in the ratio 1:2=m:n

case :2 : Q divides AB in the ratio 2:1=m:n

the formula is p(x,y)=[mx2+nx1÷m+n,my2+ny1÷m+n]

Answer 2

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$<font color = blue>$

⠀⠀⠀⠀⠀<|-------|----------------|-------|>

⠀⠀⠀(2,6)A⠀⠀⠀P⠀⠀⠀⠀⠀⠀Q⠀⠀B(-4,8)

p divides the line segment in 1:2.

m1=1,⠀⠀⠀⠀m2=2

$<font color = purple>$

by using section formula

x=⠀⠀⠀(m1x2+m2x1)

⠀⠀⠀⠀⠀-------------------

⠀⠀⠀⠀⠀⠀⠀m1+m2⠀⠀

⠀⠀⠀⠀

⠀⠀⠀⠀

y=⠀⠀⠀⠀(m1y2+m2y1)

⠀⠀⠀⠀⠀---------------------⠀

⠀⠀⠀⠀⠀⠀⠀⠀m1+m2

⠀⠀⠀⠀

$<font color = red>$⠀⠀⠀⠀

p=(0,20/3)

Q=(-2,14/3)

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