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Manipal Entrance Test 2015 Math Paper
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© examsnet.com
Question : 41
Total: 70
In
Δ
A
B
C
,
if
a
=
4
,
b
=
3
,
angle
A
=
60
°
.
Then,
c
is the root of the equation
c
2
−
3
c
−
7
=
0
c
2
+
3
c
+
7
=
0
c
2
−
3
c
+
7
=
0
c
2
+
3
c
−
7
=
0
Validate
Solution:
We have
a
=
4
,
b
=
3
and
∠
A
=
60
°
∵
cos
A
=
b
2
+
c
2
−
a
2
2
b
c
∴
cos
60
°
=
9
+
c
2
−
16
6
c
⇒
1
2
×
6
c
=
c
2
−
7
⇒
c
2
−
3
c
−
7
=
0
© examsnet.com
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