# Version 4.1 Collection of 22 DHS DHS Ryabushko

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# Description

DHS - 4.1
№1.22. 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 = 2/3; A (-6; 0 b) A (√8; 0); ) D: y = 1.
b) the condition is not true. Coordinates of points are wrong. Not resolved
№2.22. Write the equation of the circle passing through these points and centered at the point A. Given: B (2, -5); A - the top of the parabola x2 = -2 · (y +1).
№3.22. Write the equation of a line, every point M which satisfies the following conditions: The ratio of the distance from the point M to point A (3; -2) and B (4, 6) is equal to 3/5.
№4.22. Build a curve given in polar coordinates: ρ = 2 · cos 4φ.
№5.22. Build a curve given by parametric equations (0 ≤ t ≤ 2π)