If and | ω | = 1, then z lies on
A circle
An ellipse
A parabola
A straight line
If z = 1 + i , then the multiplicative inverse of z2 is (where i = √-1 )
2 i
p>1 - i
-i/2
i/2
If conjugate and reciprocal of a complex number z = x + iy are equal , then
x + y = 1
x2 + y2 = 1
x = 1 and y = 0
x = 0 and y = 1
If P is a multiple of n , then the sum of Pth power of nth roots of unity is
P
n
0
None of these
The value of is
1/5
-1/5
1/10
-1/10
If 1, a1 , a2 , a3 . . . an-1 are the nth roots of unity , then the value of (1 - a1) (1 - a2) (1 - a3) . . . (1 - an-1) is
1
-n
If we express in the form of x + iy, we get
cos 49θ - i sin 49θ
cos 23θ + i sin 23θ
cos 49θ + i sin 49θ
cos 21θ + i sin 21θ
The polar form of complex number 1 + i is
√2 (cos π/4 + i sin π/4 )
√2 (cos 2π/4 + i sin 2π/4
√2 (cos π/4 - i sin π/4 )
√3 (sin 2π/4 + i cos 2π/4)
If -i + 3 is a root of x2 - 6x + k = 0 then the value of k is
5
√5
√10
10
(x = 3, y = 1 )
(x = 1, y = 3 )
(x = 0 , y = 0 )
