If `k + |k + z^2|=|z|^2(k in R^-)`, then possible argument of z is

If k+|k+z^(2)|=|z|^(2)(k in R^(-)), then possible argument of z is

Let Z be a complex number satisfying the relation Z^(3)+(4(barZ)^(2))/(|Z|)=0 . If the least possible argument of Z is -kpi , then k is equal to (here, argZ in (-pi, pi] )

If |z-1|=|z-5| and Re(z)=k ; then evaluate k

Read the following writeup carefully: If z_1 = a+ib and z_2 =c + id be two complex numbers such that |z_1| = |z_2|=1 and "Re" (z_1 bar(z_2))=0 . Now answer the following question Let k = |z_1 + z_2| + |a+ ib| , then the value of k is

x≥0,y≥0,z≥0 and tan^(-1) x+tan^(-1) y+tan^(-1) z=k , the possible value(s) of k if x^2 + y^2+z^2 = 1, & \ x+y+z=sqrt(3) , then

If 2x + k y + z is a factor of 9y^(2) - z^(2) - 2xz + 6xy , then the value of k is equal to

Consider the complex numbers z_(1) and z_(2) Satisfying the relation |z_(1)+z_(2)|^(2)=|z_(1)|^(2) + |z_(2)|^(2) Possible difference between the argument of z_(1) and z_(2) is

If |z_(1)+z_(2)|=|z_(1)-z_(2)| then the difference of the arguments of z_(1) and z_(2) is

" 3.If "|z-1|=|z-5|" and "Re(z)=k;" then evaluate "k