# IDZ 4.1 - Option 11. Decisions Ryabushko AP

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Content: 11v-IDZ4.1.doc 207 kB

## Product description

1. 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
1.11 a) 2a = 24, ε = √22 / 6, b) k = √2 / √3, 2c = 10; a) symmetry axis Ox and A (-7, -7)

2. Write the equation of the circle passing through these points and centered at the point A.
2.11 The right focus of the ellipse 33x2 + 49y2 = 1617, A (1, 7)

3. Find the equation of a line, every point M which satisfies these criteria.
3.11 Sum of squares of the distances from point M to point A (-5, -1) and B (3, 2) is equal to 40.5

4. Build a curve given by the equation in polar coordinates.
4.11 ρ = 3 (cosφ + 1)

5. Construct a curve given by parametric equations (0 ≤ t ≤ 2π)
5.11 x = 2cost y = 4sint

Detailed solution. Decorated in Microsoft Word 2003 (Target decided to use formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent

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