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Shivam
Subject: Maths
, asked on 7/1/18
Q
19
.
I
f
w
=
z
z
-
1
3
i
a
n
d
w
=
1
t
h
e
n
z
l
i
e
s
o
n
1
a
c
i
r
c
l
e
2
a
n
e
l
l
i
p
s
e
3
a
p
a
r
a
b
o
l
a
4
a
s
t
r
a
i
g
h
t
l
i
n
e
Answer
1
Shivam
Subject: Maths
, asked on 7/1/18
please solve question 18
Answer
1
Shivam
Subject: Maths
, asked on 7/1/18
please solve question 16
Answer
1
Shivam
Subject: Maths
, asked on 7/1/18
please solve question 15
Answer
1
Shivam
Subject: Maths
, asked on 7/1/18
please solve question 13
Answer
1
Shivam
Subject: Maths
, asked on 7/1/18
please solve question 11
Answer
1
Shivam
Subject: Maths
, asked on 7/1/18
Q
10
.
T
h
e
m
i
n
i
m
u
m
v
a
l
u
e
o
f
2
z
-
1
+
3
z
-
2
=
1
0
2
1
2
3
1
3
4
2
3
Answer
1
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 z = x+iy and
1
-
i
z
z
-
i
=
1
then z lies on
x-axis
y-axis
circle whose radius is unity
nothing can be said
Answer
0
Shivam
Subject: Maths
, asked on 6/1/18
please solve question 6
Q6. If z = x + iy and |z| = 1 (z
≠
–1) then z
1
=
z
-
1
z
+
1
is
(1) purely real (2) purely imaginary (3) zero (4) undefined
Answer
0
Shivam
Subject: Maths
, asked on 6/1/18
I
f
z
1
=
8
+
4
i
,
z
2
=
6
+
4
i
a
n
d
a
r
g
z
-
z
1
z
-
z
2
=
π
4
t
h
e
n
z
s
a
t
i
s
f
i
e
s
.
1
)
|
z
-
7
-
4
i
|
=
1
2
)
|
z
-
7
-
5
i
|
=
2
3
)
|
z
-
4
i
|
=
8
Answer
1
Shivam
Subject: Maths
, asked on 6/1/18
please solve question 4
Answer
0
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 6/1/18
2
.
I
f
z
i
s
a
c
o
m
p
l
e
x
n
u
m
b
e
r
s
u
c
h
t
h
a
t
z
≠
0
,
t
h
e
n
1
)
R
e
(
z
2
)
=
0
2
)
I
m
(
z
2
)
=
0
3
)
R
e
(
z
2
)
=
I
m
(
z
2
)
4
)
n
o
n
e
o
f
t
h
e
s
e
Answer
0
Shivam
Subject: Maths
, asked on 6/1/18
1
.
T
h
e
e
q
u
a
t
i
o
n
n
o
t
r
e
p
r
e
s
e
n
t
i
n
g
a
c
i
r
c
l
e
i
s
g
i
v
e
n
b
y
:
1
)
R
e
1
+
z
1
-
z
2
)
z
z
¯
+
i
z
-
i
z
¯
+
1
=
0
3
)
a
r
g
z
-
1
z
+
1
=
π
2
4
)
z
-
1
z
+
1
=
1
Answer
0
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What are you looking for?
Q. If z = x+iy and then z lies on
Q6. If z = x + iy and |z| = 1 (z –1) then z1 = is
(1) purely real (2) purely imaginary (3) zero (4) undefined
Q. If and are different complex numbers with || =1, then is equal to