3.1.26 Curves of the 2 -nd Order
Condition: bring the equation of a second -order curve to a canonical form. Make a drawing. \ [13 x^{2} +32 x y+37 y^{2} +46 x+22 y+13 = 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.