3.1.24 Curves of the 2nd order
Condition: Bring the given equation of a second-order line to canonical form and construct it. \[ 2 x^{2}+3 y^{2}-4 x+6 y=0 \]
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.