Find the coordinates of a point divided a line segment join as A(6,0) and B(0,-4) an to four equal parts.
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Answer:
Given-
A(−4,0) & B(0,6) are the end points of the line segment AB.
To find out-
The coordinates of the points which divide AB into 4 equal segments.
Solution
If the line AB is divided into 4 segments then there will be 3 points p,q & r such that Ap=pq=qr=Bq.
Then, q is the mid point of AB.
p is the mid point of Aq, and r is the mid point of Bq.
We shall apply mid point formula
(X,Y)=(
2
x
2
+x
1
,
2
y
2
+y
1
).
AB
M
=q=(
2
−4−0
,
2
0−6
)=(−2,−3).
Aq
M
=p=(
2
−4−2
,
2
0+3
)=(−3,
2
3
),
Bq
M
=r=(
2
−2+0
,
2
3+6
)=(−1,
2
9
).
Step-by-step explanation:
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