# Version 4.1 Collection of 10 DHS DHS Ryabushko

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DHS - 4.1
№1.10. 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 = 7/8; A (8, 0); b) A (3; -√3 / 5); B (√13 / 5; 6); a) D: y = 4.
paragraph b) is not the right condition
№2.10. Write the equation of the circle passing through these points and centered at the point A. Given: O (0, 0); A - the vertex of the parabola y2 = - (x + 5) / 2.
№3.10. Write the equation of a line, every point M which satisfies these criteria. The ratio of the distance from point M to point A (-3, 5) and B (4; 2) is equal to 1/3.
№4.10. Build a curve given in polar coordinates: ρ = 4·sin 4φ.
№5.10. Build a curve given by parametric equations (0 ≤ t ≤ 2π) 