Ryabushko A.P. IDZ 4.1 option 4

DHS - 4.1
№1.4. 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) ε = √21 / 5; A (-5, 0); b) A (√80; 3); B (4√6; 3√2); a) D: y = 1.
№2.4. Write the equation of the circle passing through these points and centered at the point A. Given: 0 (0, 0); A - the top of the parabola y2 = 3 (x - 4).
№ 3.4. Write the equation of a line, every point M which satisfies these criteria. The ratio of the distance from point M to point A (2, 3) and B (-1, 2) is equal to 3/4.
№4.4. Build a curve given in polar coordinates: ρ = 3 · sin 6φ.
№5.4. Build a curve given by parametric equations (0 ≤ t ≤ 2π)