Ryabushko A.P. IDZ 4.1 option 9

DHS - 4.1
№1.9. 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 (0; √3); B (√14 / 3: 1); b) k = √21 / 10; ε = 11/10; a) D: y = - 4.
№ 2.9. Write the equation of the circle passing through these points and centered at the point A. Given: hyperbole tricks 4x2- 5y2 = 80; A (0, -4).
№9 3.9. Write the equation of a line, every point M which satisfies these criteria. It is situated on the line y = 7 at a distance five times greater than that from point A (4, -3).
№4.9. Build a curve given in polar coordinates: ρ = 4 · sin 3φ.
№5.9. Build a curve given by parametric equations (0 ≤ t ≤ 2π)