IDZ 4.1 - Option 3. Decisions Ryabushko AP

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

1.3 a) A (3, 0), B (2, v5 / 3); b) k = 3/4, ? = 5/4; a) D: y = -2


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

2.3 Focuses hyperbole 24y2 - 25x2 = 600, A (0, -8)


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

3.3 is spaced from the line y = -2 distance is three times greater than that of point A (5, 0)


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

4.3 ? = 2sin2?


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

5.3 x = 4cos2t y = 3sin2t