3.1.28 Curves of the 2nd order
Condition: Reduce to canonical form: \[ 4 x^{2}-25 y^{2}+50 y-24 x+89=0 \text {. } \]
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.