MathProblemsBank

3.1.16 Curves of the 2 -nd Order

Condition: find a canonical type of a given quadratic shape and build on a plane \ (o x y \) a line determined by a given equation. \ [5 x_ {1}^{2} -6 x_ {1} x_ {2} +5 x_ {2}^{2} = 32 \]

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.