IDZ 4.1 - Option 18. 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

And 1.18) b = 5; ε = 12/13; b) k = 1/3, 2a = 6; c) the Oy axis of symmetry and A (-9, 6)

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

2.18 The left top hyperbole 5x2 - 9y2 = 45, A (0, -6)

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

3.18 spaced from point A (0, -5) at a distance of two times less than the straight line x = 3

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

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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.