To find trisection point of an line segment for the question(-3,-2) (4,8)
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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
)
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