IDZ 4.1 - Option 18. 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
And 1.18) b = 5; ε = 12/13; b) k = 1/3, 2a = 6; c) the Oy axis of symmetry and A (-9, 6)

2. Write the equation of the circle passing through these points and centered at the point A.
2.18 The left top hyperbole 5x2 - 9y2 = 45, A (0, -6)

3. Find the equation of a line, every point M which satisfies these criteria.
3.18 spaced from point A (0, -5) at a distance of two times less than the straight line x = 3

4. Build a curve given by the equation in polar coordinates.