IDZ 4.1 - Option 21. 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

1.21 a) A (0, -2), B (√15 / 2, 1); b) k = 2√10 / 9, ε = 11/9; a) D: y = 5

• Write the equation of the circle passing through these points and centered at the point A.

2.21 Focus Left hyperbole 7x2 - 9y2 = 63, A (-1, -2)

• Find the equation of a line, every point M which satisfies these criteria.

3.21 spaced from the line x = 14 in the region is twice smaller than the point A (2, 3)

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

4.21 ρ = 3sin4φ

• Construct a curve given by parametric equations (0 ≤ t ≤ 2π)

5.21 x = 4cos3t y = 2sin3t

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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.