DHS - 4.1
No. 1.26. Make the canonical equation: a) an ellipse; b) hyperbole; c) parabolas; BUT; B - points lying on the curve; F - focus; and - the big (real) semi-axis; b- small (imaginary) semi-axis; ε - eccentricity; y = ± k x - equations of the asymptotes of hyperbola; D is the director of the curve; 2c is the focal length. Given: a) b = 7; F (13; 0); b) b = 4; F (–11; 0); c) D: x = 13.
No. 2.26. Write the equation of a circle passing through the indicated points and having a center at A. Dano: The right vertex of the hyperbola
x2 - 25 y2 = 75; A (–5; –2).
No. 3.26. To make the equation of the line, each point M of which satisfies the given conditions. It is separated from the line x = 2 at a distance, five times larger than from point A (4; –3).
No. 4.26. Build a curve defined in the polar coordinate system: ρ = 3 · (1 + cos2φ).
No. 5.26. Build a curve defined by parametric equations (0 ≤ t ≤ 2π)