MathNet 2019-part-02 — 184 problems (EN–VI) Question 118

The point $A(0, 2)$ is given on the parabola $y^2 = x + 4$. Find all points $B$ on the given parabola, different from $A$, for which there exists a point $C$, also on the parabola, such that the angle $\angle ACB$ is right. (China)