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Byju's Answer
Standard X
Chemistry
Atomic Radius
if f(x+10) f...
Question
if f(x+10) f(x+4) = 0, then f(x) is a periodic function with time period
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Similar questions
Q.
If
f
(
x
)
+
f
(
x
+
4
)
=
f
(
x
+
2
)
+
f
(
x
+
6
)
∀
x
ϵ
R
a
n
d
a
>
0
and f(x) is periodic, then period of f(x), is
Q.
If
f
(
x
)
+
f
(
x
+
4
)
=
f
(
x
+
2
)
+
f
(
x
+
6
)
∀
x
ϵ
R
a
n
d
a
>
0
and f(x) is periodic, then period of f(x), is
Q.
If
f
′
(
x
)
=
1
−
2
sin
2
x
f
(
x
)
,
f
(
x
)
>
0
,
∀
x
∈
R
and
f
(
0
)
=
1
. Then
f
(
x
)
is a periodic function with the period
Q.
If a function satisfies
f
(
x
+
1
)
+
f
(
x
−
1
)
=
√
2
f
(
x
)
and
f
(
x
)
≠
0
, then period of
f
(
x
)
can be
Q.
Assertion :If
f
(
x
)
is a non-negative continuous function such that
f
(
x
)
+
f
(
x
+
1
2
)
=
1
then
∫
2
0
f
(
x
)
d
x
=
1
Reason:
f
(
x
)
is a periodic function having period
1
.
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