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Standard IX
Mathematics
Question
If
(
x
+
y
)
:
(
x
−
y
)
=
5
:
1
, then the value of
(
x
2
−
y
2
)
:
(
x
2
+
y
2
)
will be
5
:
13
2
:
3
3
:
2
13
:
5
A
5
:
13
B
2
:
3
C
13
:
5
D
3
:
2
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Solution
Verified by Toppr
The correct option is
A
5
:
13
∵
x
+
y
x
−
y
=
5
1
⇒
5
x
−
5
y
=
x
+
y
⇒
4
x
=
6
y
∴
x
=
3
2
y
∴
x
2
−
y
2
x
2
+
y
2
=
(
3
2
y
)
2
−
y
2
(
3
2
y
)
2
+
y
2
=
9
4
y
2
−
y
2
9
4
y
2
+
y
2
=
5
4
y
2
13
4
y
2
=
5
13
i.e.,
5
:
13
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1
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(
x
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:
(
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)
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5
:
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:
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