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Mathematics
Mathematics
Problem
In
△
L
M
N
\triangle LMN
△
L
M
N
, point
P
P
P
lies on
L
M
LM
L
M
and point
Q
Q
Q
lies on
L
N
LN
L
N
such that
L
P
=
x
+
2
cm
LP = x + 2\,\text{cm}
L
P
=
x
+
2
cm
,
P
M
=
6
cm
PM = 6\,\text{cm}
P
M
=
6
cm
,
L
Q
=
3
x
cm
LQ = 3x\,\text{cm}
L
Q
=
3
x
cm
and
Q
N
=
9
cm
QN = 9\,\text{cm}
QN
=
9
cm
. For which value of
x
x
x
will
P
Q
∥
M
N
PQ \parallel MN
P
Q
∥
M
N
? a)
1
1
1
b)
3
3
3
c)
2
2
2
d)
4
4
4
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