The locus of the point z satisfying (where k is non zero) is _____.
Circle with centre on y–axis
Circle with centre on x–axis
A straight line parallel to x–axis
If the amplitude of is , then the locus of is _____.
The value of _____.
0
-1
1
2
is equal to _____.
– 1
0
1
2
_____.
3
None of the above
Square of either of the two imaginary cube roots of unity will be _____.
Real root of unity
Other imaginary cube root of unity
Sum of two imaginary roots of unity
None of the above
If is a cube root of unity, then _____.
0
None of the above
If is an imaginary cube root of unity, then for , the value of is _____.
-1
0
1
3
_____.
1
If is the cube root of unity, then + = _____.
4
0
-4
None of the above