Find the locus of the points representing the complex number `z` for which`|z+5|^2-|z-5|^2=10.`

Find the correct staements in the following? If P represents the complex number z and if |2z-1|=2|z| then the locus of z .

If the real part of (barz + 2)/(barz - 1) is 4, then show that locus of the point representing z in the complex plane is a circle.

Find the locus of point z if z ,i ,a n di z , are collinear.

Find the complex number z satisfying R e(z^2) =0,|z|=sqrt(3.)

If |z-1|=2 then the locus of z is

If from a point P representing the complex number z_1 on the curve |z|=2 , two tangents are drawn from P to the curve |z|=1 , meeting at points Q(z_2) and R(z_3) , then :

If the imaginary part of (2z + 1)/(iz + 1) is -2 , then show that the locus of the point representing z in the argand plane is straight line.

Given the complex number z = 2 +3i, represent the complex numbers in Argand diagram. z, -iz, and z - iz.

Find the non-zero complex numbers z satisfying z =i z^2dot