Option 24 DHS 4.1

Option 24 DHS 4.1

DHS - 4.1
№1.24. 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 = 2√15; ε = 7/8; b) k = 5/6; 2a = 12; c) The axis of symmetry of Oy and A (-2; 3√2).
№2.24. Write the equation of a circle passing through the indicated points and having a center at the point A (-2; 5). The right vertex of the hyperbola is 40x2-81y2 = 3240.
No. 3.24. To make the equation of the line, each point M of which satisfies the given conditions. Distance from point A (3; -4) at a distance three times greater than from the line x = 5
№4.24. Build a curve defined in the polar coordinate system: ρ = 1 / (2 - cos2φ).
№5.24. Build a curve defined by parametric equations (0 ≤ t ≤ 2π)