The region of the complex plane for which `|(z-a)/(z+veca)|=1,(Re(a) != 0)` is

The region of the complex plane for which |(z-a)/(z+vec a)|=1,(Re(a)!=0) is

The region of the complex plane for which |(z-a)/(z+a)|=1 , (Re) ne 0 , is

If a point P denoting the complex number z moves on the complex plane such that,|Re(z)|+|Im(z)|=1 then locus of P is

If a point P denoting the complex number z moves on the complex plane such that |RE(z)|+|IM(z)|=1 then locus of P is

If a point P denoting the complex number z moves on the complex plane such tha "Re"(z^(2))="Re"(z+bar(z)) , then the locus of P (z) is

z_(1) and z_(2) are two non-zero complex numbers, they form an equilateral triangle with the origin in the complex plane. Prove that z_(1)^(2)-z_(1)z_(2)+z_(2)^(2)=0

Points z in the complex plane satisfying Re(z+1)^(2)=|z|^(2)+1 lies on

Points z in the complex plane satisfying "Re"(z+1)^(2)=|z|^(2)+1 lie on

Points z in the complex plane satisfying "Re"(z+1)^(2)=|z|^(2)+1 lie on