Express (5 - 3i)3 in the form a + ib
10 + 198 i
-10 - 198 i
10 - 198 i
-10 + 198 i
The polar form of the complex number (i25)3 is
cosπ/2 + i sin π/2
cosπ + i sin π
cosπ - isinπ
cosπ/2 - isinπ/2
If ω is a cube root of unity then the value of (1 - ω + ω2)4 + (1 + ω - ω2)4 is
0
32
-16
-32
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
The reciprocal of 3 + i√7 i is
3/4 - √7/4 i
3 - √7 i
3/16 - i√7/16
√7+3 i
The principal value of argument of 1 + i is
∏/2
∏/3
∏/4
None of these
a + ib < c + id ; a, b, c, d ∈ R is meaningful only when
a2 + c2 = 0
b2 + c2
b2 + d2 = 0
a2 + d2 = 0
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]
If -i + 3 is a root of x2 - 6x + k = 0 then the value of k is
5
√5
√10
10
If the amplitude of a complex number is π/2, then the number is
Purely imaginary
Purely real
Neither real nor imaginary