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WorksheetsPlay with Complex Numbers
Total questions: 12
Worksheet time: 10mins
Name
Class
Date
1.
Type your name and roll number.
4 lines
2.
Class and Section
4 lines
3.
Modulus of -5-2i is _________.
a)
Root 21
b)
- root 21
c)
Root 29
d)
5
4.
Centre of the circle Iz-2I=4 is __________
a)
4
b)
2
c)
(2,0)
d)
(0,2)
5.
Additive inverse of 2-5i is ______.
a)
2+5i
b)
-2+5i
c)
-2-5i
d)
1/2-5i
6.
i^31 is ____
a)
1
b)
-1
c)
i
d)
-i
7.
(2+i)(2-i) = __________
a)
5
b)
3
c)
5i
d)
3i
8.
Principal argument(theta) of -root 3 -i is _______
a)
pi/6
b)
5pi/6
c)
- 5pi/6
d)
- pi/6
9.
Sum of all nth roots of unity is ________.
a)
1
b)
-1
c)
(- 1)^n-1
d)
0
10.
Euler form of cos pi - i sin pi is ______.
a)
e^(i Pi)
b)
- e ^(i Pi)
c)
e^ (-i Pi)
d)
e^( - Pi)
11.
The area of the triangle formed by the complex numbers z, iz, z+iz in the Argand diagram is ___________.
a)
(1/2) IzI^2
b)
IzI^2
c)
(3/2)IzI^2
d)
2IzI^2
12.
Concept of Complex Numbers are applied in _____.
a)
Signal Processing
b)
electro magnetism
c)
fluid dynamics
d)
alternating current
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