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ASSIGNMENT – 1( BASIC) ON COMPLEX NUMBER
SECTION – A ( Onemark Questions)

1
...

2
...
Find the multiplication inverse of √ - i
4
...
+ +
6
...
The the principal argument of the complex number -i is ……
8
...
If a + ib =
c−i

9
...
What is the value of
2
1
2   3 − 4i 
12
...
Find the modulus and argument of the
complex numbers and
them in to polar form
...
Write the real value for which
15
...
Find the values of x and y if

(1 + i )x − 2i + (2 − 3i ) y + i = i
3+i

3−i

=

convert

ASSIGNMENT – 2( STANDARD) ON COMPLEX NUMBER
SECTION – A ( Onemark Questions)
1− i 
1
...
Find z if z = 4 and arg (z) = 5π 6
3
...
Write the polar form of (i 25 )

3

5
...
The polar form of
!

(a) cos + sin

!

+

...


(b) cos − sin

!

(c)cos $ + sin $
(d) cos $ − sin $
SECTION – B (Two marks Questions)
7
...
If %

(a

)

2

+1
2a − i

&

2

= x + iy Evaluate x2 + y2
= ' + ( , then find '(
...
Find least positive value of n if 
 =1
1− i 

10
...
', ( ∈ 2, then find the
value of ' + (
...
Find the square root of -7 – 24i

11
...
Write the complex number z =
cos

π
3

4

=4

+

in polar form

+ i sin π 3

14
...
Find the real values of @ , for which the complex number

ABCD

= >

ABCD

?=
>

<

is purely real

ASSIGNMENT – 3( HOTS ) ON COMPLEX NUMBER
SECTION – A ( Onemark Questions)

1
...
If 2 - 3i is a root of x + px + q = 0, then pq is -----

3
...
If =

(1+ i) (2 −i)(1+ 2i) (
E

, then arg I equals

(a) 0

!

(b)

5
...
Express

1
in to a+ b form
1 − cos θ + 2i sin θ
2n

1+ i 
7
...
Express in to polar form

1+ i
1− i

9
...
Find x, if sinx + i cos2x and cosx – i sin2x are conjugate to each other
SECTION – C (Four marks Questions)
11
...
Find the relation between x and y if z = x + iy satisfying

z−3
=2
z +3

13
...
Solve for x , x2 – (2 + i) x = 1- 7i
...
Show that the complex number z , satisfying arg%
circle

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