Ryabushko A.P. IDZ 4.1 option 25

DHS - 4.1
№1.25. 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) a = 13; F (-5, 0); b) b = 4; F (-7, 0); a) D: x = - 3/8.
№2.25. Write the equation of the circle; passing through these points and centered at the point A. The focus of the ellipse x2 + 10y2 = 90; A- his lower vertex.
№3.25. Write the equation of a line, every point M which satisfies these criteria. Is spaced from point A (5, 7) at a distance of four times greater than that of the point B (-2, 1).
№4.25. Build a curve given in polar coordinates: ρ = 4 × (1 - sin φ).
№5.25. Build a curve given by parametric equations (0 ≤ t ≤ 2π)