ИДЗ 4.1 – Вариант 20. 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
1.20 a) b = 5, F (-10, 0); b) a = 9, ε = 4/3; a) D: x = 12

2. Write the equation of the circle passing through these points and centered at the point A.
2.20 The right top hyperbole 3x2 - 16y2 = 48, A (1, 3)

3. Find the equation of a line, every point M which satisfies these criteria.
3.20 is spaced from the line x = -7 at a distance of three times smaller than the point A (1, 4)

4. Build a curve given by the equation in polar coordinates.
4.20 ρ = 5 (2 - sinφ)

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