3.1.47 Curves of the 2nd order
Condition: Determine the type of curve \[ 2 x^{2}+26 x y-26 y^{2}-4 x+26 y=26 \text {. } \]
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.