ИДЗ 4.1 – Вариант 2. Решения Рябушко А.П.

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
1.2 a) b = 2, F (4√2, 0); b) a = 7, ε = √85 / 7; a) D: x = 5

2. Write the equation of the circle passing through these points and centered at the point A.
2.2 hyperbole Tops 4x2 - 9y2 = 36, A (0, 4)

3. Find the equation of a line, every point M which satisfies these criteria.
3.2 is spaced from the line x = -2 in the region is twice larger than that of the point A (4, 0)

4. Build a curve given by the equation in polar coordinates.
4.2 ρ = 2 (1 - sin2φ)

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

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