3.1.18 Curves of the 2nd order
condition: Find the points of intersection of the parabola \( y^{2}=4 x \) with the line passing through the focus of this parabola parallel to its directrix.
Study of curves of the second order and their characteristics. Ellipse, hyperbola, parabola. Finding eccentricities, foci, focal radii, major and minor axes, including imaginary, canonical equations and plotting.