Ryabushko A.P. IDZ 4.1 option 6

DHS - 4.1
№1.6. 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 = √15; ε = √10 / 25; b) k = 3/4; 2a = 16; c) symmetry axis Ox; A (4 -8).
№2.6. Write the equation of the circle passing through these points and centered at the point A. Given: Left focus hyperbole 3x2- 4y2 = 12; A (0, -3).
№ 3.6. Write the equation of a line, every point M which satisfies these criteria. Spaced from point A (1; 0) at a distance of up to five times smaller than that of the straight line x = 8.
№4.6. Build a curve given in polar coordinates: ρ = 3 × (1 + sin φ)
№5.6. Build a curve given by parametric equations (0 ≤ t ≤ 2π)