Let `z` be a complex number such that `|z|+z=3+i` ,then `6|z|` is equal to

Let z be a complex number such that |z|+z=3+I (Where i=sqrt(-1)) Then ,|z| is equal to

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 number of complex numbers z such that |z-1|=|z+1|=|z-i| is

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

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

Let z be any non-zero complex number. Then arg(z) + arg (barz) is equal to

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=1+ai be a complex number, a > 0 ,such that z^3 is a real number. Then the sum 1+z+z^2+...+ z^11 is equal to: