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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, the vertices are
A
(
−
2
,
3
)
A(-2,3)
A
(
−
2
,
3
)
,
B
(
4
,
7
)
B(4,7)
B
(
4
,
7
)
and
C
(
6
,
−
1
)
C(6,-1)
C
(
6
,
−
1
)
. a. (a) Find the coordinates of the point
D
D
D
that divides
A
C
AC
A
C
internally in the ratio
3
:
1
3:1
3
:
1
. b. (b) Which point,
B
B
B
or
D
D
D
, is nearer to the origin? Show your working.
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