Ryabushko A.P. IDZ 4.1 option 8

DHS - 4.1
№1.8. 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 = 4; F (9, 0); b) a = 5; ε = 7/5; a) D: x = 6.
№2.8. Write the equation of a circle passing through the vertex of the hyperbola x2 - 16y2 = 64 and having a center at the point A (0, -2).
№3.8. Write the equation of a line, every point M which satisfies these criteria. Is spaced from the line x = - 5 at a distance of three times as much; than from point A (6: 1).
№4.8. Build a curve given in polar coordinates: ρ = 3 × (1 - cos2φ).
№5.8. Build a curve given by parametric equations (0 ≤ t ≤ 2π)