The distance between the two points \( A \) and \( A' \) which lie on \( y = 2 \) such that both the line segments \( AB \) and \( A'B \) (where \( B \) is the point \( (2, 3) \)) subtend angle \( \frac{\pi}{4} \) at the origin, is equal to:
\( 10 \)
\( \frac{48}{5} \)
\( \frac{52}{5} \)
\( 3 \)