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IDZ 4.1 - Option 7. Decisions Ryabushko AP
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Uploaded: 28.06.2020
Content: 7v-IDZ4.1.doc 189 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
1.6 a) b = √15, ε = √10 / 25, b) k = 3/4, 2a = 16; a) symmetry axis Ox and A (4 -8)
2. Write the equation of the circle passing through these points and centered at the point A.
2.6 Left focus hyperbole 3x2 - 4y2 = 12, A (0, -3)
3. Find the equation of a line, every point M which satisfies these criteria.
3.6 spaced from point A (1, 0) at a distance of up to five times smaller than that of the lines x = 8
4. Build a curve given by the equation in polar coordinates.
4.6 ρ = 3 (1 + sinφ)
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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