3.1.45 Curves of the 2nd order
Condition: Write the equation of an ellipse for which the straight lines \( -x+y-1=0 \) and \( x+y+1=0 \) are the major and minor axes and the lengths of the semi-axes of which \( a=2, b=1 \).
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.