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 inequality |z-4|<|z-2| represents the region given by
Re(z)(0
Re(z)<0
Re(z)>0
None of these
If ( ((1) is a cube root of unity and (1+()7=A+ B( then A and B are respectively
0,1
1,1
1,0
-1,1
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
/
Of area zero
Right-angle isosceles
equilateral
Obtuse-angled isosceles
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