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

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

If |z-1| + |z + 3| le 8 , then prove that z lies on the circle.

If |2z-1|=|z-2| prove that |z|=1 where z is a complex

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

If |(z+i)/(z-i)|=sqrt(3) , then z lies on a circle whose radius, is

if Im((z+2i)/(z+2))= 0 then z lies on the curve :

If |z_1|=|z_2|=1, then prove that |z_1+z_2| = |1/z_1+1/z_2∣

If z lies on the circle I z l = 1, then 2/z lies on