यदि `x+iy=((a+i)^(2))/(2a-i)`, तो सिद्ध कीजिए की `x^(2)+y^(2)=((a^(2)+1)^(2))/(4a^(2)+1)`.

(i) If x+iy=(a+ib)/(a-ib) , prove that x^(2)+y^(2)=1 . (ii) If ((a+i)^(2))/(2a-i)=p+iq , prove that: p^(2)+q^(2)=((a^(2)+1)^(2))/(4a^(2)+1) .

If ((a^(2)+1)^(2))/(2a-i)=x=iy, then x^(2)+y^(2) is equal to ((a^(2)+1)^(4))/(4a^(2)+1) b.((a+1)^(2))/(4a^(2)+1) c.((a^(2)-1)^(2))/((4a^(2)-1)^(2)) d.none of these

If ((a^(2)+1)/(2a-i))^(2)=x+iy, find the value of x^(2)+y^(2)

If x+iy=(2+i)/(2-i) then prove taht x^(2)+y^(2)=1

यदि triangleABC में (If इन triangleABC), a = (1)/(sqrt(6)-sqrt(2)), b = (1)/(sqrt(6)+sqrt(2)), C = 60^(@) तो सिद्ध कीजिए कि (Prove that) c = (sqrt(4))/(2) .

If x+iy=(1+2i)/(2+i) prove that x^(2)+y^(2)=1

If x+iy=sqrt((1+i)/(1-i)), prove that x^(2)+y^(2)=1

If ((a^(2)+1)^(2))/(2a-i) =x+iy then what is the value of x^(2)+y^(2)?

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).

If (1+2i) (2+3i)(3+4i)=x+iy,x,y in R then x^(2)+y^(2) is