# Version 4.1 Collection of 15 DHS DHS Ryabushko

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# Description

DHS - 4.1
№1.15. 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 (-√17 / 3, 1/3); B (√21 / 2, 1/2); b) k = 1/2; ε = √5 / 2; a) D: y = - 1.
№2.15. Write the equation of the circle passing through these points and centered at the point A. Given: Focuses hyperbola 5x2 - 11y2 = 55; A (0, 5).
№3.15. Write the equation of a line, every point M which satisfies these criteria. Is spaced from the line x = 9 in the region, four times less than that of the point A (-1; 2).
№4.15. Build a curve given in polar coordinates: = 6 · sin 4φ.
№5.15. Build a curve given by parametric equations (0 ≤ t ≤ 2π)