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IDZ 4.1 - Option 15. Decisions Ryabushko AP
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Uploaded: 30.06.2020
Content: 15v-IDZ4.1.doc 211 kB
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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
1.15 a) A (-√17 / √3, 1/3), B (√21 / 2, 1/2); b) k = 1/2, ε = √5 / 2; a) D: y = -1
2. Write the equation of the circle passing through these points and centered at the point A.
2.15 Focuses hyperbola 5x2 - 11y2 = 55, A (0, 5)
3. Find the equation of a line, every point M which satisfies these criteria.
3.15 spaced from the line x = 9 in the region, four times less than that of the point A (-1, 2)
4. Build a curve given by the equation in polar coordinates.
4.15 ρ = 6sin4φ
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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