Ryabushko A.P. IDZ 4.1 option 19

DHS - 4.1
№1.19. 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 = 9; F (7; 0); b) b = 6; F (2, 0); a) D: x = - 1/4.
№2.19. Write the equation of the circle passing through these points and centered at the point A. The focus of the ellipse 24x2 + 25y2 = 600; A - its top vertex.
№3.19. Write the equation of a line, every point M which satisfies these criteria. Is spaced from point A (4, -2) at a distance of two times less than the point B (1, 6).
№4.19. Build a curve given in polar coordinates: ρ = 3 × (1 - cos4φ).
№5.19. Build a curve given by parametric equations (0 ≤ t ≤ 2π)