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, ? - eccentricity, y = ± kx - hyperbolic equations of the asymptotes, D - Headmistress curve, 2c - focal length

1.19 a) a = 9, F (7, 0); b) b = 6, F (12, 0), a) D: x = -1/4


2. Write the equation of the circle passing through these points and centered at the point A.

2.19 The focus of the ellipse 24x2 + 25y2 = 600, A - its top vertex


3. Find the equation of a line, every point M which satisfies these criteria.

3.19 spaced from point A (4, -2) at a distance of two times less than the point B (1, 6)


4. Build a curve given by the equation in polar coordinates.

4.19 ? = 3 (1 - cos4?)


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

5.19 x = 4cos2t y = sin2t

Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.