# IDZ 4.1 - Option 21. Decisions Ryabushko AP

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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
1.21 a) A (0, -2), B (√15 / 2, 1); b) k = 2√10 / 9, ε = 11/9; a) D: y = 5

2. Write the equation of the circle passing through these points and centered at the point A.
2.21 Focus Left hyperbole 7x2 - 9y2 = 63, A (-1, -2)

3. Find the equation of a line, every point M which satisfies these criteria.
3.21 spaced from the line x = 14 in the region is twice smaller than the point A (2, 3)

4. Build a curve given by the equation in polar coordinates.
4.21 ρ = 3sin4φ

5. Construct a curve given by parametric equations (0 ≤ t ≤ 2π)
5.21 x = 4cos3t y = 2sin3t