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Question
If
(
a
β
b
)
:
(
a
+
b
)
=
1
:
5
, then what is
(
a
2
β
b
2
)
:
(
a
2
+
b
2
)
equal to?
A
2
:
3
B
3
:
2
C
5
:
1
3
D
1
3
:
5
Easy
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Solution
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Correct option is C)
Given,
a
+
b
a
β
b
β
=
5
1
β
β
5
a
β
5
b
=
a
+
b
β
4
a
=
6
b
Β
β
b
a
β
=
2
3
β
i.e.
3
a
β
=
2
b
β
=
k
Therefore,
a
2
+
b
2
a
2
β
b
2
β
=
9
k
2
+
4
k
2
9
k
2
β
4
k
2
β
=
1
3
5
β
Ths the required ratio is
5
:
1
3
.
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