3.1.23 Curves of the 2nd order
Condition: Create an equation and construct a line, the distances of each point from the point \( A(2 ; 0) \) and from the straight line \( 5 x+8=0 \) are related as \( 5: 4 \).
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.