" If "z=x+iy,z^(1/3)=a-ib" and "(x)/(a)-(y)/(b)=k(a^(2)-b^(2))" then value of "k" equals "

If z=x+i y, z^(1 / 3)=a-i b and (x)/(a)-(y)/(b)=k(a^(2)-b^(2)) then the value of k=

z=x+iy,z^(1/3)=a-ib,(x)/(a)-(y)/(b)=k(a^(2)-b^(2)) then k is :

If z=x+iy, z^(1/3) = a-ib and x/a-y/b=k( a^2 - b^2 ) then k=

If z=x+iy,z^((1)/(3))=a-ib and backslash(x)/(a)-(y)/(b)=lambda(a^(2)-b^(2)) then lambda is equal to

If (x+iy)^((1)/(3))=a+ib where x,y,a,b are real numbers such that (x)/(a)-(y)/(b)=k(a^(2)+b^(2)) then the value of k is

If z = x + iy, z^(1//3) = a - ib , then x/a - y/b = ka^2 - b^2 , where k is equal to :