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Standard VII
Mathematics
Arithmetic Mean and Range
Question
Say true or false.
The A.M. between
(
a
−
b
)
2
and
(
a
+
b
)
2
is
a
2
+
b
2
.
True
False
A
False
B
True
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Solution
Verified by Toppr
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
Adding the two, we get
(
a
−
b
)
2
+
(
a
+
b
)
2
=
2
a
2
+
2
b
2
Dividing the whole equation by
2
, we get, AM
=
a
2
+
b
2
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8
Similar Questions
Q1
Say true or false.
The A.M. between
(
a
−
b
)
2
and
(
a
+
b
)
2
is
a
2
+
b
2
.
View Solution
Q2
State true or false:
If
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=
[
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1
]
and
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]
,
then
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+
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=
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View Solution
Q3
Say true or false:
If
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be two matrices such that they commute, then
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−
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=
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)
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View Solution
Q4
State True or False.
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b
c
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+
b
2
−
c
2
)
=
(
a
2
+
b
2
−
c
2
)
(
a
b
+
b
c
−
c
a
)
View Solution
Q5
State true or false
(
b
2
+
c
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−
a
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)
tan
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c
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2
−
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