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
1.26 a) b = 7, F (13, 0); b) b = 4, F (-11, 0); a) D: x = 13
2. Write the equation of the circle passing through these points and centered at the point A.
2.26 The right top hyperbole 3x2 - 25y2 = 75, A (-5, -2)
3. Find the equation of a line, every point M which satisfies these criteria.
3.26 is spaced from the line x = 2 at a distance five times greater than from the point A (4, -3)
4. Build a curve given by the equation in polar coordinates.
4.26 ρ = 3 (1 + cos2φ)
Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)
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