IDZ 4.1 - Option 27. Decisions Ryabushko AP
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27v-IDZ4.1.pdf (144.85 KB)
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08.07.2025
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Description
- 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
- 1.27 a) A (-3, 0), B (1, √40 / 3); b) k = √2 / √3, ε = √15 / 3; a) D: y = 4
- 2. Write the equation of the circle passing through these points and centered at the point A.
- 2.27 Focuses hyperbola 4x2 - 5y2 = 20, A (0, -6)
- 3. Find the equation of a line, every point M which satisfies these criteria.
- 3.27 is spaced from the line x = - 7 at a distance of three times smaller than the point A (3, 1)
- 4. Build a curve given by the equation in polar coordinates.
- 4.27 ρ = 3cos2φ
Additional information
- Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.
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