If x is real , then`root(3)(x+iy)=a+ib(ane0,bne0)`,then pove that
`(x)/(a)+(y)/(b)=4(a^(2)-b^(2))`

If a,b,x,y are real and 3sqrt(x+iy)=a+ib show that , 3sqrt(x-iy)=a-ib (x)/(a)+(y)/(b)=4(a^(2)-b^(2)).

If x+iy = (a+ib)/(a-ib) , prove that x^(2) + y^(2)=1 .

If x-iy = sqrt((a+ib)/(c-id)) , prove that (x^(2) + y^(2))^(2) = (a^(2) + b^(2))/(c^(2) + d^(2))

If x+iy=sqrt((a+ib)/(c+id))" ""prove that", (x^(2)+y^(2))^(2)=(a^(2)+b^(2))/(c^(2)+d^(2))

If x , y are real and x + iy=0 then

If a + bne 0 , find the coordinates of focus and the length of latus rectum of the parabola y^(2) = 2 mx which passes through the point of intersection of the straight lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 .

If sqrt(x-iy)=a-ib and a,b,x,y are real then show that, sqrt(x+iy)=a+ib.

If x,y,b and real, z=x+iy and (z-i)/(z-1)=ib, show that, (x-(1)/(2))^(2)+(y-(1)/(2))^(2)=(1)/(2).

The zero of the polynomial f(x)=ax+b(ane0) is

If (a+ib)/(c+id)=x+iy prove that, (a^(2)+b^(2))/(c^(2)+d^(2))=x^(2)+y^(2)