Ryabushko A.P. IDZ 4.1 option 18

DHS - 4.1
№1.18. 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 = 5; ε = 12/13; b) k = 1/3; 2a = 6; c) the Oy axis of symmetry and A (-9; 6).
№2.18. Write the equation of the circle passing through these points and centered at the point A. The left vertex of the hyperbola 5x2 - 9y2 = 45; A (0, -6).
№ 3.18. Write the equation of a line, every point M which satisfies these criteria. Is spaced from point A (0, -5 distance twice to less than a straight line x = 3.
№4.18. Build a curve given in polar coordinates: ρ = 2 × (1 - cos3φ).
№5.18. Build a curve given by parametric equations (0 ≤ t ≤ 2π)