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Ryabushko A.P. IDZ 4.1 option 17
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DHS - 4.1
№1.17. 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 = 10/11; b) k = √11 / 5; 2c = 12; a) symmetry axis Ox and A (-7; 5).
№ 2.17. Write the equation of the circle passing through these points and having
Center at A. Given: Left focus of the ellipse 3x2 + 7y2 = 21; A (-1; -3).
№3.17. 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 (-3; 3) and B (4, 1) is equal to 31.
№4.17. Build a curve given in polar coordinates: ρ = 3 / (1 - cos 2φ).
№5.17. Build a curve given by parametric equations (0 ≤ t ≤ 2π)
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