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UPSC CDS 1 2021 Math Paper
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© examsnet.com
Question : 40
Total: 100
What is the value of
x
, if
b
+
√
b
2
−
2
b
x
b
−
√
b
2
−
2
b
x
=
a
?
a
b
a
+
b
2
a
b
a
+
1
2
a
b
(
a
+
1
)
2
a
b
(
a
+
b
)
2
Validate
Solution:
👈: Video Solution
a
=
b
+
√
b
2
−
2
b
x
b
−
√
b
2
−
2
b
x
a
+
1
a
−
1
=
b
√
b
2
−
2
b
x
a
2
+
2
a
+
1
a
2
−
2
a
+
1
=
b
2
b
2
−
2
b
x
a
2
−
2
a
+
1
a
2
+
2
a
+
1
=
b
−
2
x
b
=
1
−
2
x
b
x
=
b
2
(
1
−
a
2
−
2
a
+
1
a
2
+
2
a
+
1
)
=
b
2
(
4
a
a
2
+
2
a
+
1
)
=
2
a
b
(
a
+
1
)
2
© examsnet.com
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