Option 2 4.1 Collection DHS DHS Ryabushko

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DHS - 4.1
№1.2. 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; F (4√2; 0); b) a = 7; ε = √85 / 7; a) D: x = 5.
№ 2.2. Write the equation of the circle passing through these points and centered at the point A. Given: the top of hyperbole 4x2 - 9y2 = 36; A (0, 4).
№ 3.2. Write the equation of a line, every point M which satisfies these criteria. Is spaced from the line x = -2 at a distance twice as much; than from point A (4, 0).
№4.2. Build a curve given in polar coordinates: ρ = 2 × (1 - sin 2φ).
№5.2. Build a curve given by parametric equations (0 ≤ t ≤ 2π)