IDZ 4.1 - Option 13. Decisions Ryabushko AP

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Uploaded: 28.06.2020
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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
1.13 a) a = 6, F (-4, 0); b) b = 3, F (7, 0), a) D: x = -7

2. Write the equation of the circle passing through these points and centered at the point A.
2.13 The focus of the ellipse 16x2 + 41y2 = 656, A - its lower vertex

3. Find the equation of a line, every point M which satisfies these criteria.
3.13 spaced from point A (-3, 3) at a distance of three times larger than that of the point B (5, 1)

4. Build a curve given by the equation in polar coordinates.
5 4.13 ρ = (1 - sin2φ)

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

Additional information

Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent

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