Ryabushko A.P. IDZ 4.1 option 12

DHS - 4.1
№1.12. 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) b = 2; ε = 5√29 / 29; b) k = 12/13; 2a = 26; a) symmetry axis Ox and A (-5; 15).
№2.12.Zapisat equation of the circle passing through these points and centered at the point A. Given: Left focus hyperbole 3x2-5y2 = 30; A (0, 6).
№3.12. Write the equation of a line, every point M which satisfies these criteria. Is spaced from point A (2: 1) at a distance of three times more than from the straight line x = -5.
№4.12. Build a curve given in polar coordinates: ρ = 1 / (2-sin φ).
№5.12. Build a curve given by parametric equations (0 ≤ t ≤ 2π)