IDZ 4.1 - Option 15. Decisions Ryabushko AP

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• 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

• 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)

• 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)

• Build a curve given by the equation in polar coordinates.

4.15 ρ = 6sin4φ

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Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.