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JEE Main Math Class 11 Sequences and Series Part 1 Questions
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© examsnet.com
Question : 29
Total: 100
If the arithmetic mean of two numbers a and
b
,
a
>
b
>
0
,
is five times their geometric mean, then
a
+
b
a
−
b
is equal to:
[Online April 8, 2017]
√
6
2
3
√
2
4
7
√
3
12
5
√
6
12
Validate
Solution:
A.T.Q.
A.M. = 5 G.M.
a
+
b
2
=
5
√
a
b
a
+
b
√
a
b
=
10
∴
a
b
=
10
+
√
96
10
−
√
96
=
10
+
4
√
6
10
−
4
√
6
Use Componendo and Dividendo
a
+
b
a
−
b
=
20
8
√
6
=
5
2
√
6
=
5
√
6
12
© examsnet.com
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