iran-konkur 2020 Q134

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum Circles Circle Equation Derivation
134- Among the circles passing through the point $A(-4\ ,\ 1)$ and tangent to the lines $4x + 3y = 0$ and the $y$-axis, the one with the largest radius is:
  • [(1)] $\dfrac{5}{3}$
  • [(2)] $\dfrac{17}{9}$
  • [(3)] $\dfrac{7}{3}$
  • [(4)] $\dfrac{22}{9}$
\textbf{134-} Among the circles passing through the point $A(-4\ ,\ 1)$ and tangent to the lines $4x + 3y = 0$ and the $y$-axis, the one with the largest radius is:

\begin{itemize}
    \item[(1)] $\dfrac{5}{3}$
    \item[(2)] $\dfrac{17}{9}$
    \item[(3)] $\dfrac{7}{3}$
    \item[(4)] $\dfrac{22}{9}$
\end{itemize}