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Shivam
Subject: Maths
, asked on 5/1/18
Q. The solution of the equation |z| -z =1+2i is
2-3/2 i
3/2 +2i
3/2 - 2i
-2+3/2 i
Answer
1
Shivam
Subject: Maths
, asked on 5/1/18
Q
.
I
f
1
-
i
1
+
i
100
=
a
+
i
b
t
h
e
n
a = 2, b = -1
a = 1, b = 0
a = 0, b =1
a = -1, b = 2
Answer
1
Drishti
Subject: Maths
, asked on 4/1/18
Solve this:
Answer
1
Drishti
Subject: Maths
, asked on 4/1/18
1
+
4
3
i
=
(
a
+
i
b
)
p
r
o
v
e
t
h
a
t
a
2
-
b
2
=
1
a
n
d
a
b
=
2
3
Answer
1
Vibhansh Agarwal
Subject: Maths
, asked on 2/1/18
Pls solve question no.13
Q13. If z
3
– 2z
2
+ 4z – 8 = 0 then
(A)
z
= 1 (B)
z
= 2
(C)
z
(D) None
Answer
3
Vibhansh Agarwal
Subject: Maths
, asked on 2/1/18
Please solve question no. 12
12
.
I
f
z
1
a
n
d
z
2
a
r
e
t
w
o
c
o
m
p
l
e
x
n
u
m
b
e
r
s
,
t
h
e
n
p
r
o
v
e
t
h
a
t
z
1
+
z
2
=
z
1
+
z
2
2
+
z
1
z
2
+
z
1
+
z
2
2
-
z
1
z
2
.
Answer
2
Nura Mohammad
Subject: Maths
, asked on 1/1/18
If x+y= 5 and xy=6 then the value of x^3-y^3
Answer
1
Vedant
Subject: Maths
, asked on 28/12/17
Please answer asap
Q.
Air is filled in a vessel of same volume at pressure 105 kilo pascal and temperature 300 k each now these vessels are connected by a narrow tube of negligible volume and one vessel is maintained at 300 k temperature and another vessel is maintained at 4oo k. Find the pressure in a vessel.
Answer
1
Vibhansh Agarwal
Subject: Maths
, asked on 27/12/17
Pls solve question no.8
Q8. Show that for any complex numbers z
1
and z
2.
1
-
z
1
z
2
2
-
z
1
-
z
2
2
=
1
-
z
1
2
1
-
z
2
2
Answer
1
Vibhansh Agarwal
Subject: Maths
, asked on 27/12/17
Pls solve question no.7 ii
Q.7.(ii). Construct an equation whose roots are n th power of the roots of the equation
x
2
-
2
x
cos
θ
+
1
=
0
.
Answer
1
Vibhansh Agarwal
Subject: Maths
, asked on 27/12/17
Pls solve question no.9
Q9. If
ω
is a complex cub root of unity, then the equation
z
-
ω
2
+
z
-
ω
2
2
=
λ
will represent a circle , if
A
λ
∈
0
,
3
2
B
λ
∈
[
3
2
,
∞
)
C
λ
∈
0
,
3
D
λ
∈
[
1
,
∞
)
Answer
1
Vibhansh Agarwal
Subject: Maths
, asked on 27/12/17
Please solve question no.7
7
.
I
f
1
+
x
2
=
3
x
,
t
h
e
n
∑
n
=
1
24
x
n
-
1
x
n
i
s
e
q
u
a
l
t
o
(
A
)
48
(
B
)
-
48
(
C
)
±
48
(
ω
-
ω
2
)
(
D
)
n
o
n
e
o
f
t
h
e
s
e
Answer
1
Vibhansh Agarwal
Subject: Maths
, asked on 27/12/17
Pls solve question no.5
Q5. z
0
is one of the roots of the equation
z
n
cos
θ
0
+
z
n
-
1
cos
θ
1
+
zcosθ
n
-
1
+
cosθ
n
=
2
when
θ
1
∈
R
, then
A
z
0
<
1
2
B
z
0
>
1
2
C
z
0
=
1
2
D
none
of
these
Answer
1
Vibhansh Agarwal
Subject: Maths
, asked on 27/12/17
Please solve question no.3
3
.
I
f
z
=
r
.
A
r
e
a
o
f
t
h
e
t
r
i
a
n
g
l
e
w
h
o
s
e
v
e
r
t
i
c
e
s
a
r
e
z
,
ϖ
z
a
n
d
z
+
ϖ
z
,
w
h
e
r
e
ϖ
i
s
t
h
e
n
o
n
r
e
a
l
c
u
b
e
r
o
o
t
o
f
u
n
i
t
y
,
i
s
4
3
s
q
.
u
n
i
t
s
,
t
h
e
n
t
h
e
v
a
l
u
e
o
f
'
r
'
i
s
(
A
)
1
(
B
)
2
(
C
)
3
(
D
)
n
o
n
e
o
f
t
h
e
s
e
Answer
1
Vedant
Subject: Maths
, asked on 22/12/17
Pls answer
Q). Ice at temperature
-
2
°
C
is mixed with 200 g of water at 60
°
C
. If temperature of mixture is 10
°
C
, find the mass of ice.
Answer
1
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What are you looking for?
Q. The solution of the equation |z| -z =1+2i is
Q13. If z3 – 2z2 + 4z – 8 = 0 then
(A) = 1 (B) = 2
(C) (D) None
Q. Air is filled in a vessel of same volume at pressure 105 kilo pascal and temperature 300 k each now these vessels are connected by a narrow tube of negligible volume and one vessel is maintained at 300 k temperature and another vessel is maintained at 4oo k. Find the pressure in a vessel.
Q8. Show that for any complex numbers z1 and z2.
Q.7.(ii). Construct an equation whose roots are n th power of the roots of the equation .
Q9. If is a complex cub root of unity, then the equation will represent a circle , if
Q5. z0 is one of the roots of the equation , then
Q). Ice at temperature is mixed with 200 g of water at 60. If temperature of mixture is 10, find the mass of ice.