IDZ 4.1 - Option 17. 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

1.17 a) 2a = 22, ε = 10/11, b) k = √11 / 5, 2c = 12; a) symmetry axis Ox and A (-7, 5)

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

2.17 Left focus of the ellipse 3x2 + 7y2 = 21, A (-1, -3)

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

3.17 Sum of squares of the distances from point M to point A (-3, 3) and B (4, 1) is equal to 31

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

4.17 ρ = 3 / (1 - cos2φ)

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

5.17 x = 5cost y = sint

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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.