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Byju's Answer
Standard XII
Mathematics
Orthogonal Matrix
Consider a si...
Question
Consider a signal
x
(
t
)
defined as
x
(
t
)
=
{
t
;
0
≤
t
≤
1
0
,
elsewhere
. The odd part of x(t) is
A
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B
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C
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D
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Solution
The correct option is
A
Given,
x
(
t
)
=
{
t
;
0
≤
t
≤
1
0
,
elsewhere
x
(
−
t
)
=
{
−
t
−
1
≤
t
<
0
0
,
elsewhere
Odd part of x(t) is x
o
(
t
)
=
x
(
t
)
−
x
(
−
t
)
2
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0
Similar questions
Q.
Let x(t) be a signal with Fourier transform
X
(
ω
)
. Meeting following conditions
1.
x
(
t
)
is real
2.
x
(
t
)
=
0
f
o
r
t
≤
0
3.
1
2
π
∫
∞
−
∞
R
e
{
X
(
ω
)
}
e
j
ω
t
d
ω
=
|
t
|
e
−
|
t
|
Re{p} means real part of complex quantity p. The expression for x(t) is
Q.
Which of the following is the Fourier transform of
x
(
t
)
=
⎧
⎪
⎨
⎪
⎩
2
;
−
1
≤
t
<
0
1
;
0
≤
t
<
1
0
;
e
l
s
e
w
h
e
r
e
Q.
Consider a signal x(t) as shown in the figure below,
I
f
a
s
i
g
n
a
l
y
(
t
)
i
s
d
e
f
i
n
e
d
s
u
c
h
t
h
a
t
y
(
t
)
=
1
4
δ
(
t
−
1
)
∗
x
(
t
)
,
t
h
e
n
t
h
e
v
a
l
u
e
o
f
y
(
0
)
i
s
_____________
Q.
The signal x(t) is defined as
x(t)=
⎧
⎪ ⎪
⎨
⎪ ⎪
⎩
5
s
i
n
t
,
0
<
t
<
π
t
+
2
π
<
t
<
2
π
t
−
2
2
π
<
t
<
3
π
0
,
o
t
h
e
r
w
i
s
e
The energy in the signal is _______.
Q.
The signal x(t) is given as
x
(
t
)
=
⎧
⎨
⎩
3
ϵ
3
(
t
−
ϵ
)
2
0
≤
t
≤
ϵ
0
o
t
h
e
r
w
i
s
e
Select the correct statement about x(t).
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