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

If (x+iy)=a+ib then (x)/(a)+(y)/(b)=

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

If (a+ib)(x+iy)=(a^(2)+b^(2))i , then (x,y) is

(x+iy)^((1)/(3))=(a+ib) then prove that ((x)/(a)+(y)/(b))=4(a^(2)-b^(2))

If (x+iy)^(1//3)=a+ib , where x,y,a,b inR show that (x)/(a)-(y)/(b)=-2(a^(2)+b^(2)) .