ИДЗ 4.1 – Вариант 7. 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
1.6 a) b = √15, ε = √10 / 25, b) k = 3/4, 2a = 16; a) symmetry axis Ox and A (4 -8)

2. Write the equation of the circle passing through these points and centered at the point A.
2.6 Left focus hyperbole 3x2 - 4y2 = 12, A (0, -3)

3. Find the equation of a line, every point M which satisfies these criteria.
3.6 spaced from point A (1, 0) at a distance of up to five times smaller than that of the lines x = 8

4. Build a curve given by the equation in polar coordinates.
4.6 ρ = 3 (1 + sinφ)

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

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