Ryabushko A.P. IDZ 4.1 option 3

DHS - 4.1
№1.3. 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 (3, 0; B (2; √5 / 3), b) k = 3/4; ε = 5/4; a) D: y = - 2.
№2.3. Write the equation of the circle passing through these points and centered at the point A. Given: Focuses hyperbole 24y2 - 25x2 = 600; A (-8; 0).
№3.3. Write the equation of a line, every point M which satisfies these criteria. Is spaced from the line y = -2 at a distance of three times as much; than from point A (5, 0).
№4.3. Build a curve given in polar coordinates: ρ = 2 · sin 2φ.
№5.3. Build a curve given by parametric equations (0 ≤ t ≤ 2π)