Version 4.1 Collection of 21 DHS DHS Ryabushko

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DHS - 4.1
№1.21. 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) A (0, -2); B (√15 / 2;); b) k = 2√20 / 9; ε = 11/9; a) y = 5.
№2.21. Write the equation of the circle passing through these points and centered at the point A. Given: Left focus hyperbola 7x2 - 9y2 = 63; A (-1; -2).
№3.21. Write the equation of a line, every point M which satisfies these criteria. Is spaced from the line x = 14 in the region of two times less than that of the point A (2, 3).
№4.21. Build a curve given in polar coordinates: ρ = 3 · sin 4φ.
№5.21. Build a curve given by parametric equations (0 ≤ t ≤ 2π)

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