If n is any integer, then in is
i
1,-1
i,-i
1,-1,i,-i
If we express ( 2 + 3 i ) 2 in the form of ( x + iy ) , we get
-5 + 12 i
12 - 5 i
5 - 12 i
12 + 5 i
The value of (i)243 is equal to
-i
-1
1
Let p, q ∈{1, 2, 3, 4, 5}. The no. of equations of the form px2 + qx + 1 = 0, having real root is
7
8
9
15
If n is any integer,then (i)n is
If | z | = 1 and (where z ≠ -1 ), then the value of Re(ω) is
0
If x = -5 + 2√-4, the value of x4 + 9x3 + 35x2 - x + 4 is
-160
160
158
150
The polar form of complex number is
√2( cos 2π /4 + i sin 2π/4 )
√2( cos 3π/4 + i sin 3π/4 )
√2( cos 3π/2 + i sin 3π/2 )
√2( cos 3π/4 + i sin π/4 )
The point 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 polar form of number - 3 is
- 3 (cos π + i sin π)
3 (cos π+ i sin π )
√3[cos (2π/3) - i sin (2π/3) ]
2√3[ cos (2π/3) + i sin (2π/3 ) ]
