3.1.39 Curves of the 2nd order
condition: Determine the coordinates of the center and the radius of the circle: \[ x^{2}+y^{2}+10 x-4 y+29=0 \]
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.