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Question
Mathematics
In a regular hexagon A B C D E F, A B+A C+ A D+A E+A F=k A D, where k is equal to
Q. In a regular hexagon
A
BC
D
EF
,
A
B
+
A
C
+
A
D
+
A
E
+
A
F
=
k
A
D
, where
k
is equal to
657
198
Vector Algebra
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A
1
8%
B
2
33%
C
3
58%
D
none of these
0%
Solution:
A
B
+
A
C
+
A
D
+
A
E
+
A
F
=
E
D
+
A
C
+
A
D
+
A
E
+
C
D
[
∵
A
B
=
E
D
,
A
F
=
C
D
]
=
(
A
C
+
C
D
)
+
(
A
E
+
E
D
)
+
A
D
=
A
D
+
A
D
+
A
D
=
3
A
D
