3.1.46 Curves of the 2nd order
condition: Construct graphs of second-order curves: a) \( x^{2}+3 y-9=0 \) b) \( 5 x+y^{2}+10 y=0 \) c) \( x^{2}+y^{2}+110 y=0 \) d) \( 4 x^{2}-49 y^{2}=196\).
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.