IDZ 4.1 - Option 8. Decisions Ryabushko AP

1. Create the canonical equations: a) of the ellipse; b) hyperbole; c) the parabola (A, B - points on the curve, F - focus, and - big (real) Semi, b - small (imaginary) half, ε - eccentricity, y = ± kx - hyperbolic equations of the asymptotes, D - Headmistress curve, 2c - focal length
1.8 a) b = 4, F (9, 0); b) a = 5, ε = 7/5; a) D: x = 6

2. Write the equation of the circle passing through these points and centered at the point A.
2.8 The top of the hyperbola x2 - 16y2 = 64, A (0, -2)

3. Find the equation of a line, every point M which satisfies these criteria.
3.8 is spaced from the line x = -5 at a distance of three times greater than that of point A (6: 1)

4. Build a curve given by the equation in polar coordinates.
4.8 ρ = 3 (1 - cos2φ)