Ryabushko A.P. IDZ 4.1 option 29

DHS - 4.1
№1.29. 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 = 34; ε = 15/17; Typo as to be ε <1; b) k = √17 / 8; 2c = 18; c) The symmetry axis Oy; A (4, -10).
№2.29. Write the equation of the circle passing through these points and centered at the point A. Given: Left focus of the ellipse 13x2 + 49y2 = 837; A (1, 8).
№3.29. Write the equation of a line, every point M which satisfies these criteria. The sum of the squares of the distances from M to points A (-1, 2) and B (3, -1) is 18.5.
№4.29. Build a curve given in polar coordinates: ρ = 2 / (2 - cos φ).
№5.29. Build a curve given by parametric equations (0 ≤ t ≤ 2π)