The representation of z = 1 + i√3 in polar form is
2[cosπ/6 + i sinπ/6]
2[cosπ/4 + i sinπ/4]
2[cosπ/3 + i sinπ/3]
2[sinπ/2 + i sinπ/2]
Which of the following is not applicable for a complex number ?
Addition
Subtraction
Division
Inequality
6i54 + 5i37 - 2i11 + 6i68 =
5i
6i
7i
8i
[cos π/22 + i sin π/22]11 =
i
1
-i
-1
10
8
6
none of these
The principal value of argument of 1 + i is
∏/2
∏/3
∏/4
None of these
If z is a complex number then
|z2| >|z|2
|z2| =|z|2
|z2| <|z|2
|z2| ≥|z|2
(1 + i)4 + (1 - i)4 =
-8
0
16
Multiplicative inverse of the non-zero complex number (x + iy), (x,y∈R) is
If a = 3 + i and z = 2 - 3i, then the points on the Argand diagram representing az, 3az and - az are
Vertices of a right angled triangle
Vertices of a equilateral triangle
Vertices of an isosceles triangle
Collinear
