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UPSC NDA I 2014 Mathematics Paper
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© examsnet.com
Question : 43
Total: 120
If x and y are positive and
x
y
>
1
, then what is
t
a
n
−
1
x
+
t
a
n
−
1
y
equal to ?
[NDA I 2014]
t
a
n
−
1
(
x
+
y
1
−
x
y
)
π
+
t
a
n
−
1
(
x
+
y
1
−
x
y
)
π
−
t
a
n
−
1
(
x
+
y
1
−
x
y
)
t
a
n
−
1
(
x
−
y
1
+
x
y
)
Validate
Solution:
t
a
n
−
1
x
+
t
a
n
−
1
y
=
t
a
n
−
1
x
+
y
1
−
x
y
,
i
f
x
<
1
t
a
n
−
1
x
+
t
a
n
−
1
y
=
π
+
t
a
n
−
1
x
+
y
1
−
x
y
,
i
f
x
>
1
© examsnet.com
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