IDZ 4.1 - Option 9. 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
1.9 a) A (0, √3), B (√14 / √3, 1); b) k = √21 / 10, ε = 11/10; a) D: y = -4

2. Write the equation of the circle passing through these points and centered at the point A.
2.9 Focuses hyperbole 4x2 - 5y2 = 80, A (0, -4)

3. Find the equation of a line, every point M which satisfies these criteria.
3.9 spaced from the line y = 7 at a distance five times greater than from the point A (4, -3)

4. Build a curve given by the equation in polar coordinates.
4.9 ρ = 4sin3φ