Question

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Answer 1

Answer:

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

=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

=(

2+1

1(−3)+(3)

,

2+1

1(−4)+2(−2)

)

=(

3

−3+6

,

3

−4−4

)

=(−1,

3

−8

)

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,

3

−10

)