Option 5 4.1 Collection DHS DHS Ryabushko

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DHS - 4.1
№1.5. 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 = 22; ε = √57 / 11; b) k = 2/3; 2c = 10√13; a) symmetry axis Ox and A (27; 9).
№2.5. Write the equation of the circle; passing through these points and centered at the point A. The focus of the ellipse 9x2 + 25y2 = 1; A 0, 6).
№3.5. 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 (4, 0) and B (-2, 2) is equal to 28.
№4.5. Build a curve given in polar coordinates: ρ = 2 / (1 + cos ).
№5.5. Build a curve given by parametric equations (0 ≤ t ≤ 2π)

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