# Version 4.1 Collection of 11 DHS DHS Ryabushko

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# Description

DHS - 4.1
№1.11. 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) 2a = 24; ε = √22 / 6; b) k = √2 / 3; 2c = 10; a) symmetry axis Ox and A (-7; -7).
№2.11.Zapisat equation of the circle passing through these points and centered at the point A. Given: Right focus of the ellipse 33x2 + 49y2 = 1617; A (1, 7).
№3.11. Write the equation of a line, every point M which satisfies these criteria. The sum of squares of the distances from point M to point A (-5, -1) and B (3, 2) is equal to 40.5.
№4.11. Build a curve given in polar coordinates: ρ = 3 × (1 + cos φ).
№5.11. Build a curve given by parametric equations (0 ≤ t ≤ 2π)