Ryabushko A.P. IDZ 4.1 option 28

DHS - 4.1
№1.28. 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 = 5/6; A (0; -√11); b) A (√32 / 3: 1); B (√8; 0); a) D: y = - 3.
№2.28. Write the equation of the circle passing through these points and centered at the point A. Given: B (3, 4); A - the vertex of the parabola; y2 = (x + 7) / 4.
№3.28. Write the equation of a line, every point M which satisfies these criteria. The ratio of the distance from point M to point A (3, -5) and B (4, 1) is equal to 1/4.
№4.28. Build a curve given in polar coordinates: ρ = 2 · sin 3φ.
№5.28. Build a curve given by parametric equations (0 ≤ t ≤ 2π)