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
1.20 a) b = 5, F (-10, 0); b) a = 9, ε = 4/3; a) D: x = 12
2. Write the equation of the circle passing through these points and centered at the point A.
2.20 The right top hyperbole 3x2 - 16y2 = 48, A (1, 3)
3. Find the equation of a line, every point M which satisfies these criteria.
3.20 is spaced from the line x = -7 at a distance of three times smaller than the point A (1, 4)
4. Build a curve given by the equation in polar coordinates.
4.20 ρ = 5 (2 - sinφ)
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
No feedback yet