The locus of complex number z such that z is purely real and real part is equal to - 2 is

lf z(!=-1) is a complex number such that [z-1]/[z+1] is purely imaginary, then |z| is equal to

The number of distinct complex number(s) z, such that |z|=1 and z^(3) is purely imagninary, is/are equal to

The complex number z is purely imaginary , if

If z is a purely real complex number such that "Re"(z) lt 0 , then, arg(z) is equal to

If z is a complex number and z=bar(z) , then prove that z is a purely real number.

If z is a complex number and z=bar(z) , then prove that z is a purely real number.

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

Find the locus of a complex number z such that arg ((z-2)/(z+2))= (pi)/(3)

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