IDZ 4.1 - Option 12. 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
1.12 a) b = 2, ε = 5√29 / 29b) k = 12/13, 2a = 26; a) symmetry axis Ox and A (-5, 15)

2. Write the equation of the circle passing through these points and centered at the point A.
2.12 Focus Left hyperbole 3x2 - 5y2 = 30, A (0, 6)

3. Find the equation of a line, every point M which satisfies these criteria.
3.12 spaced from point A (2, 1) at a distance of three times greater than the straight line x = - 5

4. Build a curve given by the equation in polar coordinates.
4.12 ρ = 1 / (2 - sinφ)

5. Construct a curve given by parametric equations (0 ≤ t ≤ 2π)