Ryabushko A.P. IDZ 4.1 option 1

DHS - 4.1
№1.1. Be the canonical equation of: a) the ellipse; b) hyperbole; c) a parabola; A; The - the point lying on the curve; F - focus; and - large (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 - the focal length. Given: a) b = 15; F (-10, 0); b) a = 13; ε = 14/13; a) D: x = - 4.
№ 2.1. Write the equation of the circle passing through these points and centered at the point A. Given: A (0, -2); tops hyperbole
12x2 - 13y2 = 156.
№3.1. Write the equation of a line, every point M which satisfies these criteria. Is spaced from the line x = -6 at a distance of two
times greater; than from point A (1, 3).
№4.1. Build a curve given in polar coordinates: ρ = 2 · sin 4φ.
№5.1 Build a curve given by parametric equations (0 ≤ t ≤ 2π)