the locus of `z=i+2exp(i(theta+pi/4))` is

Trace the locus of z if arg(z+i)=(-pi)/(4)

What is the locus of z, if amplitude of (z-2-3i) is (pi)/(4)?

If z = (k+4)+i(sqrt(9-k^2)) , then the locus of z is, (where i = sqrt(-1))

What is the locus of z , if amplitude of (z-2-3i) is pi/4?

Let z be a complex number on the locus (z-i)/(z+i)=e^(i theta)(theta in R) , such that |z-3-2i|+|z+1-3i| is minimum. Then,which of the following statement(s) is (are) correct?

If |2z-4-2i|=|z|sin((pi)/(4)-arg z) then the locus of z represents a conic where eccentricity e is

If complex no 'z' satisfies the relation arg.((z-z_(1))/(z-z_(2)))=theta where 0

The locus of z such that arg [(1-2i) z-2+5i]=pi/4 is a

If Amp ((z+2)/(z-4i))=pi/2 then the locus of z = x + iy is .

If the amplitude of z - 2 - 3i " is " pi//4 , then the locus of z = x +iy is