# Version 4.1 Collection of 27 DHS DHS Ryabushko

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# Description

DHS - 4.1
№1.27. 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 (1; √40 / 3); b) k = √2 / 3; ε = √15 / 3; a) D: y = 4.
№2.27. Write the equation of the circle passing through these points and centered at the point A. Given: Focuses hyperbola 4x2 - 5y2 = 20; A (0, -6).
№3.27. Write the equation of a line, every point M which satisfies these criteria. Is spaced from the line x = - 7 at a distance of three times less than the point A (3, 1).
№4.27. Build a curve given in polar coordinates: ρ = 3 · cos 2φ.
№5.27. Build a curve given by parametric equations (0 ≤ t ≤ 2π)