Locate the complex number z such that `log_[cospi/6][ [|z-2| +5] /[4| z-2 | -4]]<2`

Locate the complex number z such that log_((cos pi)/(6))[(|z-2|+5)/(4|z-2|-4)]<2

Locate the region in the Argand plane for the complex number z satisfying |z-4| < |z-2|.

Let z be a complex number such that |z| = 4 and arg (z) = 5pi//6, then z =

If z_(1) = 8 + 4i , z_(2) = 6 + 4i and z be a complex number such that Arg ((z - z_(1))/(z - z_(2))) = (pi)/(4) , then the locus of z is

The complex numbers satisfying |z+2|+|z-2|=8 and |z+6|+|z-6|=12

Located the complex numbers z=x+iy for which: log_(1/2)((abs(z-1)+4)/(3abs(z-1)-2))gt1

If z be any complex number such that abs(3z-2)+abs(3z+2)=4 then locus of z is