Ryabushko A.P. IDZ 4.1 option 13

DHS - 4.1
№1.13. Be the canonical equation of: a) the ellipse; b) hyperbole; c) a parabola; A; The - the point lying on the curve; F - focus;
and - a big (real) sex; b- small (imaginary) sex; ε - eccentricity; y = ± kx - the equations of the asymptotes of the hyperbola; D - the headmistress of the curve; 2c- focal length. Given: a) a = 6; F (-4, 0); b) b = 3; F (7; 0); a) D: x = - 7.
№2.13. Write the equation of the circle passing through these points and centered at the point A. The focus of the ellipse 16x2 + 41y2 = 656; A - the top of its bottom.
№ 3.13. Write the equation of a line, every point M which satisfies these criteria. Is spaced from point A (-3; 3) at a distance of three times as much from the point B (5: 1).
№4.13. Build a curve given in polar coordinates: ρ = 5 x (1 - sin 2φ).
№5.13. Build a curve given by parametric equations (0 ≤ t ≤ 2π)