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Byju's Answer
Standard XII
Mathematics
Theorems on Integration
If tan-1x+t...
Question
If
t
a
n
−
1
x
+
t
a
n
−
1
y
=
π
4
,
x
y
<
1
, then write value of
x
+
y
+
x
y
.
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Solution
t
a
n
−
1
x
+
t
a
n
−
1
y
=
t
a
n
−
1
x
+
y
1
−
x
y
=
π
4
Therefore,
x
+
y
1
−
x
y
=
t
a
n
π
4
x
+
y
1
−
x
y
=
1
x
+
y
=
1
−
x
y
x
+
y
+
x
y
=
1
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0
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a
n
−
1
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n
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,
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s
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x
,
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a
n
−
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x
.
t
a
n
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a
n
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y
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a
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y
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a
n
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+
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(a) Solve the equation
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a
n
−
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2
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+
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a
n
−
1
3
x
=
n
π
+
(
π
/
4
)
.
(b) Find all the positive integral solutions of
t
a
n
−
1
x
+
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o
s
−
1
(
y
√
1
+
y
2
)
=
s
i
n
−
1
(
3
√
10
)
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