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Manipal Entrance Test 2017 Math Paper
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© examsnet.com
Question : 65
Total: 70
In triangle
ABC
,
a
(
b
2
+
c
2
)
cos
A
+
b
(
c
2
+
a
2
)
cos
B
+
c
(
a
2
+
b
2
)
cos
C
is equal to
a
b
c
2
a
b
c
3
a
b
c
4
a
b
c
Validate
Solution:
(
b
2
+
c
2
)
a
cos
A
+
(
c
2
+
a
2
)
b
cos
B
+
(
a
2
+
b
2
)
c
cos
C
=
a
b
(
b
cos
A
+
a
cos
B
)
+
b
c
(
b
cos
C
+
c
cos
B
)
+
c
a
(
a
cos
C
+
c
cos
A
)
=
a
b
c
+
a
b
c
+
a
b
c
=
3
a
b
c
© examsnet.com
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