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Shivam
Subject: Maths
, asked on 7/1/18
Q
9
.
I
f
x
+
i
y
=
a
+
i
b
c
+
i
d
=
1
t
h
e
n
x
2
+
y
2
=
1
a
2
-
b
2
c
2
-
d
2
2
a
2
+
b
2
c
2
+
d
2
3
a
2
+
b
2
c
2
+
d
2
4
a
2
-
b
2
c
2
-
d
2
Answer
2
Shivam
Subject: Maths
, asked on 6/1/18
Q. If
α
and
β
are different complex numbers with |
β
| =1, then
β
-
α
1
-
α
β
is equal to
0
1/2
1
2
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
19. The number of values of z which satisfy both the equations
z
-
1
-
i
=
2
a
n
d
z
+
1
+
i
=
2
i
s
(1) 0
(2) 1
(3) 2
(4) None
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
17. For any complex number z, which statement is true :-
1. z -
z
-
is purely real number
2. z +
z
-
is purely imaginary number
3.
z
z
¯
is purely imaginary number
4.
z
z
¯
is non-negative real number
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
Q
-
The
expression
1
+
i
n
1
-
i
n
-
2
is
equal
to
1
i
n
+
1
2
i
n
-
1
3
2
i
n
-
1
4
None
of
these
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
Q. If z +
2
|z+1| + i = 0, then z equals -
1. 2+i
2. -2+i
3. -1/2 +i
4. -2-i
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
I
f
z
1
=
z
2
.
.
.
.
.
.
.
.
.
.
.
.
.
.
=
z
n
,
t
h
e
n
z
1
+
z
2
+
.
.
.
.
.
.
.
+
z
n
z
1
-
1
+
z
2
-
1
+
.
.
.
.
.
+
z
n
-
1
e
q
u
a
l
t
o
(
1
)
1
/
n
(
2
)
n
(
3
)
1
(
4
)
z
1
+
z
2
+
.
.
.
.
.
.
.
.
+
z
n
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
N
u
m
b
e
r
o
f
n
o
n
-
z
e
r
o
i
n
t
e
g
r
a
l
s
o
l
u
t
i
o
n
s
o
f
t
h
e
e
q
u
a
t
i
o
n
(
1
-
i
)
n
=
2
n
i
s
1
1
2
2
3
I
n
f
i
n
i
t
e
4
n
o
n
e
o
f
t
h
e
s
e
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
Q
.
I
f
c
2
+
s
2
=
1
,
t
h
e
n
1
+
c
+
i
s
1
+
c
-
i
s
=
c + i s
s + i s
c - i s
s - i c
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
please solve question 28
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
please solve question 27
Answer
2
Shivam
Subject: Maths
, asked on 5/1/18
please solve question 26
Q
26
.
I
f
z
=
x
+
i
y
a
n
d
z
-
1
+
2
i
=
z
+
1
-
2
i
,
t
h
e
n
t
h
e
l
o
c
u
s
o
f
z
i
s
[
1
]
x
+
y
=
0
[
2
]
x
=
y
[
3
]
x
=
2
y
[
4
]
x
+
2
y
=
0
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
please solve question 25
Q
.
25
.
T
h
e
s
l
o
p
e
o
f
t
h
e
l
i
n
e
z
-
1
=
z
+
i
i
s
[
1
]
2
[
2
]
1
/
2
[
3
]
-
1
[
4
]
0
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
please solve question 24
Q
.
24
.
I
f
z
=
x
+
i
y
,
t
h
e
n
t
h
e
e
q
u
a
t
i
o
n
2
z
-
i
z
+
1
=
k
w
i
l
l
b
e
a
s
t
r
a
i
g
h
t
l
i
n
e
,
w
h
e
r
e
[
1
]
k
=
1
[
2
]
k
=
1
/
2
[
3
]
k
=
2
[
4
]
k
=
3
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
Q
-
22
:
I
f
z
¯
=
2
-
z
t
h
e
n
l
o
c
u
s
o
f
z
i
s
a
(
1
)
l
i
n
e
p
a
s
sin
f
t
h
r
o
u
g
h
o
r
i
g
i
n
(
2
)
l
i
n
e
p
a
r
a
l
l
e
l
t
o
y
-
a
x
i
s
(
3
)
l
i
n
e
p
a
r
a
l
l
e
l
t
o
x
-
a
x
i
s
(
4
)
c
i
r
c
l
e
Answer
2
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What are you looking for?
Q. If and are different complex numbers with || =1, then is equal to
(1) 0
(2) 1
(3) 2
(4) None
1. z - is purely real number
2. z + is purely imaginary number
3. is purely imaginary number
4. is non-negative real number
Q. If z + |z+1| + i = 0, then z equals -
1. 2+i
2. -2+i
3. -1/2 +i
4. -2-i