If Z1 and Z2 are two non-zero complex number such that |Z1 + Z2| = |Z1| + |Z2|, then arg (Z1) - arg (Z2) is equal to
-π
-π/2
π/2
0
If x = -5 + 2√-4, the value of x4 + 9x3 + 35x2 - x + 4 is
-160
160
158
150
If be the conjugate of the complex number z, then which of the following relations is false?
will be real, if θ is:
2nπ
nπ + π/2
nπ
None of these
The polar form of complex number sin 30o + i cos 30o is
cos(π/3)
sin(π/3)
cos(π/3) - i sin(π/3)
cos(π/3 ) + i sin(π/3)
The root of quadratic equation x2 - 4x + 2 = 0 are
±√2
1±√2
2±√2
3±2√2
If α and β are imaginary cube roots of unity then α4 + β4 + 1/αβ is equal to
3
1
2
If we express (√5 + 7 i) (√5 - 7 i)2 + (-2 + 7 i)2 in the form of (x + iy), we get
(54 √5 - 45 ) - 406 i
(54 √3 + 45 ) - 402 i
(54 √3 - 45 ) + 402 i
(54√ 5 + 45 ) + 406 i
The complex number lies in which quadrant of the complex plane ?
First
Second
Third
Fourth
If z is a complex number such that( z-1)/(z+1) is purely imaginary, then,
|z| = 0
|z| = 1
|z| > 1
|z| < 1
