IDZ 4.1 - Option 8. 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

1.8 a) b = 4, F (9, 0); b) a = 5, ε = 7/5; a) D: x = 6

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

2.8 The top of the hyperbola x2 - 16y2 = 64, A (0, -2)

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

3.8 is spaced from the line x = -5 at a distance of three times greater than that of point A (6: 1)

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

4.8 ρ = 3 (1 - cos2φ)

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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.