" the complex number "z" for which "k+5l^(2)-k-5l^(2)=10.

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

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

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

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

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

The locus of complex number z for which ((z-1)/(z+1))=k , where k is non-zero real, is

Among the complex numbers z ,which satisfies |z-25i<=15 then |max.arg z - min arg z| is pi-2tan^(-1)((l)/(m)) then l+m is

If z_(1) and z_(2) are two complex numbers then prove that |z_(1)-z_(2)|^(2)<=(1+k)z_(1)^(2)+(1+(1)/(k))z_(2)^(2)

Let z_(1),z_(2),z_(3),……z_(n) be the complex numbers such that |z_(1)|= |z_(2)| = …..=|z_(n)| = 1 . If z = (sum_(k=1)^(n)z_(k)) (sum_(k=1)^(n)(1)/(z_(k))) then prove that : z is a real number .