The value of (i)243 is equal to
i
-i
-1
1
a + ib < c + id ; a,b,c,d ∈ R is meaningful only when
a2 + c2 = 0
b2 + c2
b2 + d2 = 0
a2 + d2 = 0
If the amplitude of a complex number is π/2, then the number is
Purely imaginary
Purely real
0
Neither real nor imaginary
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]
The reciprocal of 3 +i √7 i is
3/4 - √7/4 i
3 - √7 i
3/16 - √7/16 i
√7+3 i
Multiplicative inverse of the non-zero complex number (x + iy), (x,y∈R) is
If x = cosθ + i sinθ then the value of xn + 1/xn is
2 cos n θ
2 i sin n θ
2 sin n θ
2 i cos n θ
The principal value of the amplitude of (1 + i) is
π/2
π/4
π
3π/4
The complex number 1 + 2i/1 - i lies in
First quadrant
Second quadrant
Third quadrant
Fourth quadrant
Which of the following is not applicable for a complex number ?
Addition
Subtraction
Division
Inequality
