If `|z-i R e(z)|=|z-I m(z)|` , then prove that `z` , lies on the bisectors of the quadrants.

If |z-iRe(z)|=|z-Im(z)|, then prove that z, lies on the bisectors of the quadrants.

If |z-iRe(z)|=|z-Im(z)|, then prove that z lies on the bisectors of the quadrants, " where "i=sqrt(-1).

If |z-iRe(z)|=|z-Im(z)|, then prove that z lies on the bisectors of the quadrants, " where "i=sqrt(-1).

If |z-iRe(z)|=|z-Im(z)|, then prove that z lies on the bisectors of the quadrants, " where "i=sqrt(-1).

if |z-i Re(z)|=|z-Im(z)| where i=sqrt(-1) then z lies on

If |z + i| = |z - i|, prove that z is real.

If z_(2) be the image of a point z_(1) with respect to the line (1-i)z+(1+i)bar(z)=1 and |z_(1)|=1 , then prove that z_(2) lies on a circle. Find the equation of that circle.

If z_(2) be the image of a point z_(1) with respect to the line (1-i)z+(1+i)bar(z)=1 and |z_(1)|=1 , then prove that z_(2) lies on a circle. Find the equation of that circle.

If z=r e^(itheta) , then prove that |e^(i z)|=e^(-r s inthetadot)

If "Re"((z-8i)/(z+6))=0 , then z lies on the curve