turkey-yks 2025 Q37

turkey-yks · Other · yks-ayt Circles Distance from Center to Line
A circle drawn in the rectangular coordinate plane
  • has one common point with the line $d_{1}: y - \frac{4x}{3} - 46 = 0$,
  • has two common points with the line $d_{2}: y - \frac{4x}{3} - 6 = 0$,
  • has no common points with the line $d_{3}: y - \frac{4x}{3} - 1 \geqslant 0$.

It is known that. Accordingly, which of the following could be the radius of this circle in units?
A) 11 B) 13 C) 15 D) 17 E) 19
A circle drawn in the rectangular coordinate plane

\begin{itemize}
  \item has one common point with the line $d_{1}: y - \frac{4x}{3} - 46 = 0$,
  \item has two common points with the line $d_{2}: y - \frac{4x}{3} - 6 = 0$,
  \item has no common points with the line $d_{3}: y - \frac{4x}{3} - 1 \geqslant 0$.
\end{itemize}

It is known that.
Accordingly, which of the following could be the radius of this circle in units?

A) 11
B) 13
C) 15
D) 17
E) 19