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Two points are and
MATHEMATICS · Multi-part · GCSE · Mathematics · Graphs · Graphs
Problem
Two points are
A
(
1
,
2
)
A(1,2)
A
(
1
,
2
)
and
B
(
7
,
−
4
)
B(7,-4)
B
(
7
,
−
4
)
. Point
P
P
P
divides
A
B
AB
A
B
internally in the ratio
2
:
3
2:3
2
:
3
. (a) Determine the coordinates of
P
P
P
. (b) Find the distances
P
A
PA
P
A
and
P
C
PC
P
C
, where
C
(
4
,
1
)
C(4,1)
C
(
4
,
1
)
. (c) State which of the two points
A
A
A
or
C
C
C
is nearer to
P
P
P
and by how much.
Related theory
Distance and Section in the Plane
Coordinate Geometry
Section and mid-point formula
Algebra
Section formula
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