iran-konkur 2020 Q136

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum Conic sections Equation Determination from Geometric Conditions
136- If the point $F(-0.25\ ,\ -2)$ is the focus of the parabola $y^2 + ay + bx + 1 = 0$, what is the smallest value of $b$?
  • [(1)] $-4$
  • [(2)] $-3$
  • [(3)] $-2$
  • [(4)] $2$
\textbf{136-} If the point $F(-0.25\ ,\ -2)$ is the focus of the parabola $y^2 + ay + bx + 1 = 0$, what is the smallest value of $b$?

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