iran-konkur 2023 Q34

iran-konkur · Other · konkur-riazi_1402_general Not Maths
34. A parabola with vertex coordinates $(-1, -1)$ passes through the point $(1, 1)$. If from the two foci that lie on the axis of symmetry perpendicular to the axis of the parabola, two lines parallel to the axis of the parabola are drawn on the directrix, a rectangle is formed. What is the diameter of the resulting rectangle?
  • [(1)] $5\sqrt{2}$
  • [(2)] $\sqrt{5}$
  • [(3)] $3\sqrt{2}$
  • [(4)] $\sqrt{3}$

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\textbf{34.} A parabola with vertex coordinates $(-1, -1)$ passes through the point $(1, 1)$. If from the two foci that lie on the axis of symmetry perpendicular to the axis of the parabola, two lines parallel to the axis of the parabola are drawn on the directrix, a rectangle is formed. What is the diameter of the resulting rectangle?

\begin{itemize}
    \item[(1)] $5\sqrt{2}$
    \item[(2)] $\sqrt{5}$
    \item[(3)] $3\sqrt{2}$
    \item[(4)] $\sqrt{3}$
\end{itemize}



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