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Standard VIII
Mathematics
Algebraic Identities
Question
If
(
a
+
b
)
2
=
4
a
b
, then prove that
a
=
b
.
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Solution
Verified by Toppr
(
a
+
b
)
2
=
4
a
b
a
2
+
b
2
+
2
a
b
=
4
a
b
a
2
+
b
2
−
2
a
b
=
0
(
a
−
b
)
2
=
0
a
=
b
Hence, proved.
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Similar Questions
Q1
If
(
a
+
b
)
2
=
4
a
b
, then prove that
a
=
b
.
View Solution
Q2
Prove that:
(
a
+
b
)
2
−
(
a
−
b
)
2
=
4
a
b
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Q3
Prove the followings,
i)
(
a
+
b
)
2
+
(
a
−
b
)
2
=
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(
a
2
+
b
2
)
ii)
(
a
+
b
)
2
−
(
a
−
b
)
2
=
4
a
b
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Q4
If
b
2
=
4
a
b
, then the value of
x
in
√
a
+
x
+
√
a
−
x
=
√
b
is
View Solution
Q5
If
x
=
4
a
b
a
+
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, then prove that
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x
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+
x
+
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b
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−
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b
=
2
View Solution