# Version 4.1 Collection of 30 DHS DHS Ryabushko

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# Description

DHS - 4.1
№1.30. 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 = 2√2; ε = 7/9; b) k = √2 / 2; 2a = 12; c) the Oy axis of symmetry and A (-45; 15).
№ 2.30. Write the equation of the circle passing through these points and centered at the point A. Given: Right Focus hyperbola 57x2 - 64y2 = 3648; A (2; 8).
№3.30. Write the equation of a line, every point M which satisfies these criteria. Is spaced from point A (1, 5) at a distance of three to four times less than that of the straight line x = - 1.
№4.30. Build a curve given in polar coordinates: ρ = 2 - cos 2φ.
№5.30. Build a curve given by parametric equations (0 ≤ t ≤ 2π)