Version 4.1 Collection of 14 DHS DHS Ryabushko

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DHS - 4.1
№1.14. 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 = 7; F (5, 0); b) a = 11; ε = 12/11; a) D: x = 10.
№ 2.14. Write the equation of the circle passing through these points and centered at the point A. Given: Top of hyperbole 2x2-9y2 = 18; A (0, 4).
№ 3.14. Write the equation of a line, every point M which satisfies these criteria. Is spaced from the line x = 8 at a distance of two times greater than the point A (-1; 7).
№4.14. Build a curve given in polar coordinates: ρ = 3 × (2 - cos 2φ).
№5.14. Build a curve given by parametric equations (0 ≤ t ≤ 2π)

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