Let z be a complex number such that the imaginary part of z is nonzero and `a = z^(2) + z+z+1` is real. Then a cannot take the value.

Let z be a complex number such that the imaginary part of z is nonzero and a = z^2 + z + 1 is real. Then a cannot take the value

Let z be a complex number such that the imaginary part of z is nonzero and a = z^2 + z + 1 is real. Then a cannot take the value

Let z be a complex number such that the imaginary part of z is nonzero and a = z2 + z + 1 is real. Then a cannot take the value (A) –1 (B) 1 3 (C) 1 2 (D) 3 4

The complex number z is purely imaginary , if

If z is a complex number such that |z|>=2 then the minimum value of |z+1/2| is

Let z!=i be any complex number such that (z-i)/(z+i) is a purely imaginary number. Then z+ 1/z is

Let z be a complex number such that |(z-5i)/(z+5i)|=1 , then show that z is purely real

Let z be a complex number satisfying |z+16|=4|z+1| . Then

The image of a complex number z in the imaginary axis is (A) z (B) iz (C) - z (D) -i z

For any complex number z , the minimum value of |z|+|z-1|