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IDZ 4.1 - Option 24. Decisions Ryabushko AP
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Uploaded: 28.06.2020
Content: 24v-IDZ4.1.doc 198 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
1.24 a) b = 2√15, ε = 7/8, b) k = 5/6, 2a = 12; c) symmetry axis Oy and A (-2, 3√2)
2. Write the equation of the circle passing through these points and centered at the point A.
2.24 The right top hyperbole 40x2 - 81y2 = 3240, A (-2, 5)
3. Find the equation of a line, every point M which satisfies these criteria.
3.24 spaced from point A (3, 4) at a distance of three times greater than the straight line x = 5
4. Build a curve given by the equation in polar coordinates.
4.24 ρ = 1 / (2 - cos2φ)
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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