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Mathematics
Mathematics
Problem
Points
P
(
1
,
1
)
P(1,1)
P
(
1
,
1
)
and
Q
(
5
,
5
)
Q(5,5)
Q
(
5
,
5
)
are fixed. Point
R
R
R
has coordinates
(
k
,
1
)
(k,1)
(
k
,
1
)
and point
S
S
S
has coordinates
(
1
,
6
)
(1,6)
(
1
,
6
)
. If the areas of triangles
P
Q
R
PQR
P
QR
and
P
Q
S
PQS
P
QS
are equal, determine the possible values of
k
k
k
.
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