IDZ 4.1 - Option 7. 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

1.6 a) b = √15, ε = √10 / 25, b) k = 3/4, 2a = 16; a) symmetry axis Ox and A (4 -8)

• 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)

• 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

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

4.6 ρ = 3 (1 + sinφ)

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

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.