If x2 + y2 + 1 = 2x, then the value of x3 + y5 is?

Answer: Option D

$$\begin{array}{rl}& x^2+y^2+1=2x\\ & x^2-2x+1+y^2=0\\ & {\left(x-1\right)}^2+y^2=0\\ & \text{If }{\text{A}}^2+{\text{B}}^2=0\end{array}$$
[As powers are even it can possible only when A = 0 & B = 0]
$$\begin{array}{rl}& \therefore x-1=0\\ & x=1\\ & y=0\\ & \therefore x^3+y^5\\ & =1+0\\ & =1\end{array}$$