Find the points of trisection joining (2,3) and (11,6)
Answers
Answer:
10th
Maths
Coordinate Geometry
Section Formula
Find the points of trisecti...
Maths
Find the points of trisection of the line segment joining the points:
(3,−2) and (−3,−4)
Medium
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: x1=3,x2=−3,y1=−2,y2=−4
CASE :- 1
m:n=1:2
=(m+nmx2+nx1,m+nmy2+ny1)
=(2+11(−3)+(3),2+11(−4)+2(−2))
=(3−3+6,3−4−4)
=(−1,3−8)
CASE :- 2
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
=(
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
)