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Madhya Pradesh Police Exam Model Paper 6
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© examsnet.com
Question : 73
Total: 101
If a and b are two positive real numbers such that
4
a
2
+
b
2
=
20
and
a
b
=
4
, then the value of
2
a
+
b
is:
80
8
6
5
Validate
Solution:
Tips & Tricks
Given
:
4
a
2
+
b
2
=
20
a
b
=
4
To find :
2
a
+
b
Formula used
:
a
2
+
b
2
=
(
a
+
b
)
2
−
2
a
b
Solution
:
4
a
2
+
b
2
=
20
⇒
(
2
a
)
2
+
b
2
=
20
⇒
(
2
a
+
b
)
2
−
2
×
2
a
×
b
=
20
⇒
(
2
a
+
b
)
2
−
4
×
4
=
20
⇒
(
2
a
+
b
)
2
−
16
=
20
⇒
(
2
a
+
b
)
2
=
20
+
16
⇒
(
2
a
+
b
)
2
=
36
⇒
2
a
+
b
=
√
36
⇒
2
a
+
b
=
6
∴ the value of 2a + b is 6.
© examsnet.com
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