If the cube roots of unity are 1, (,(2, then the roots of the equation (x-1)3 + 8=0 are
-1, 1+2(,1 +2(2
-1, 1-2(,1 +2(2
-1, 1-1,-1
None of these
The smallest positive integer n for which
=1 is
n=8
n=16
n=12
None of these
The inequality |z-4|<|z-2| represents the region given by
Re(z)(0
Re(z)<0
Re(z)>0
None of these
The points z1,z2,z3,z4 in the complex plane are the vertices of a parallelogram taken in order if and only if
z1 +z4=z2+z3
z1 +z3=z2+z4
z1 +z2=z3+z4
None of these
The complex number sin x+I cos 2x and cos x-i sin 2x are conjugate to each other, for
x= n (
x=0
x=(n+1/2)(
no value of x
/
n1= n2+1
n1= n2-1
n1= n2
n1>0,n2>0
Let z1 and z2 be nth roots of unity which subtend a right angle at the origin. Then n must be of the form
4k +1
4k +2
4k +3
4k
For all complex z1, z2 satisfying |z1|=12 and |z2-x-4i|=5, the minimum value of |z1-z2| is
0
2
7
17
If a, b, c and u, v, w are COMPLEX NUMBERS representing the vertices of two triangles such that c=(1-r)a + rb and w= (1-r)u+ rv, where r is a complex number, then the two triangles
Have the same area
Are similar
Are congruent
None of these
Let z1 and z2 be COMPLEX NUMBERS such that z1( z2 and |z1|=|z2|. If z1 has positive real part and z2 has negative imaginary part, then may be
zero
real and positive
real and negative
Purely imaginary
None of these
1 and 4