IDZ 4.1 - Option 4. 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
1.4 a) ε = √21 / 5, A (-5, 0); b) A (√80, 3), B (4√6, 3√2); a) D: y = 1

2. Write the equation of the circle passing through these points and centered at the point A.
2.4 O (0, 0), A - the vertex of the parabola y2 = 3 (x - 4)

3. Find the equation of a line, every point M which satisfies these criteria.
3.4 The ratio of the distances from point M to point A (2, 3) and B (-1, 2) is equal to 3/4

4. Build a curve given by the equation in polar coordinates.
4.4 ρ = 3sin6φ

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