Ryabushko A.P. IDZ 4.1 option 24

DHS - 4.1
№1.24. 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√15; ε = 7/8; b) k = 5/6; 2a = 12; c) The symmetry axis Oy and A (-2; 3√2).
№2.24. Write the equation of the circle passing through these points and having a center at the point A (-2; 5) .Pravuyu top hyperbole 40x2-81y2 = 3240.
№3.24. Write the equation of a line, every point M which satisfies these criteria. Is spaced from point A (3; 4) at a distance of three times greater than the straight line x = 5
№4.24. Build a curve given in polar coordinates: ρ = 1 / (2 - cos 2φ).
№5.24. Build a curve given by parametric equations (0 ≤ t ≤ 2π)