Question

Find the co-ordinates of points trisection
of line segment (-3,4) and (3, 2)​

Answer 1

Step-by-step explanation:

Trisection means dividing a line segment in three equal parts or dividing a line segment in the ratio 1:2 and 2:1

Given points: x

1

=3

x 2=−3

y 1 =−2

y 2 =−4

CASE :- 1

m:n=1:2

=( mx 2 +nx 1/m+n , my 2 +ny 1/m+n )

=( 1(−3)+(3)/2+1 ,-4+4/2+1 )

=( 3−3+6 , 3−4−4)

=(−1, −8 /3)

CASE :- 2

m:n=2:1

=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

=(

2+1

2(−3)+1(3)

,

2+1

2(−4)+1(−2)

)

=(

3

−6+3

,

3

−8−2

)

=(

3

−3

,

3

−10

)

=(−1,−10/3)

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