1. A circle with radius 12 and center at point $O$ and a circle with radius 3 touch internally at point $H$. The line $X H$ is their common tangent, and the line $O X$ is tangent to the smaller circle. Find the square of the length of the segment $O X$.
Answer: 162

2.. A circle with radius 12 and center at point $O$ and a circle with radius 4 touch internally at point $H$. Line $X H$ is their common tangent, and line $O X$ is tangent to the smaller circle. Find the square of the length of segment $O X$.

Answer: 192