Ryabushko A.P. IDZ 4.1 option 7

DHS - 4.1
№1.7. 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 = 4; F (3, 0); b) b = 2√10; F (-11, 0); a) D: x = - 2.
№2.7. Write the equation of the circle passing through these points and centered at the point A. Given: foci of the ellipse 3x2 + 4y2 = 12; And - its upper top.
№3.7. Write the equation of a line, every point M which satisfies these criteria. Is spaced from point A (4: 1) at a distance of four times that of the point B (-2, -1).
№4.7. Build a curve given in polar coordinates:ρ = 2 (1 - cos φ).
№5.7. Build a curve given by parametric equations (0 ≤ t ≤ 2π)