z z¯= 0 iff
Re(z) = 0
Im(z) = 0
z = 0
none of these
Multiplicative inverse of the non-zero complex number (x + iy), (x,y∈R) is
Given x2 + 2 = 0, then x =
2
√2
±√2 i
-2i
-1+√-3 = re iθ,then θ is equal to
2π/3
-2π/3
π/3
-π/3
The modulus and the principal amplitude of (1 + i√3)2respectively are
2,π/2
4,2π/3
5/8,tan-1(-4/3)
4 -3π/4
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 complex number 1 + 2i/1 - i lies in
First quadrant
Second quadrant
Third quadrant
Fourth quadrant
The reciprocal of 3 +i √7 i is
3/4 - √7/4 i
3 - √7 i
3/16 - √7/16 i
√7+3 i
a + ib < c + id ; a,b,c,d ∈ R is meaningful only when
a2 + c2 = 0
b2 + c2
b2 + d2 = 0
a2 + d2 = 0
Which one of the following is correct?
2 + 3i > 1 + 4i
b + 2i > 3 + 2i
12 + 8i > 8 + 12i
None of these
