Ryabushko A.P. IDZ 4.1 option 23

DHS - 4.1
№1.23. Be the canonical equation of: a) the ellipse; b) hyperbole; c) a parabola; A; The - the point lying on the curve; F - focus;
and - a big (real) sex; b- small (imaginary) sex; ε - eccentricity; y = ± kx - the equations of the asymptotes of the hyperbola; D - the headmistress of the curve; 2c- focal length. Given: a) 2a = 50; ε = 3/5; b) k = √29 / 14; 2c = 30; c) the Oy axis of symmetry and A (4, 1).
b) the condition is not true. Coordinates of points are wrong. Not resolved
№2.23. Write the equation of the circle passing through these points and centered at the point A. Given: Right focus of the ellipse x2 + 4y2 = 12; A (2; -7).
№3.23. Write the equation of a line, every point M which satisfies these criteria. The sum of squares of the distances from point M to point A (-5, 3) and B (2; 4) is equal to 65.
№4.23. Build a curve given in polar coordinates: ρ = 4 × (1 + cos 2φ).
№5.23. Build a curve given by parametric equations (0 ≤ t ≤ 2π)