 # Version 4.1 Collection of 20 DHS DHS Ryabushko

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DHS - 4.1
№1.20. 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) b = 5; F (-10, 0); b) a = 9; ε = 4/3; a) D: x = 12.
№2.20. Write the equation of the circle passing through these points and centered at the point A. Given: right vertex of the hyperbola 3x2 - 16y2 = 48; A (1 3).
№3.20. 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 from point A (1, 4).
№4.20. Build a curve given in polar coordinates: ρ = 5 · (2 - sin φ).
№5.20. Build a curve given by parametric equations (0 ≤ t ≤ 2π) 