Ryabushko A.P. IDZ 4.1 option 26

DHS - 4.1
№1.26. 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: Given: a) b = 7; F (13, 0); b) b = 4; F (-11, 0); a) D: x = 13.
№2.26. Write the equation of the circle passing through these points and centered at the point A. Given: right vertex of the hyperbola 3x2 - 25y2 = 75; A (-5; -2).
№ 3.26. Write the equation of a line, every point M which satisfies these criteria. Is spaced from the line x 2 = a distance five times greater than that of point A (4; 3).
№4.26. Build a curve given in polar coordinates: ρ = 3 × (1 + cos 2φ).
№5.26. Build a curve given by parametric equations (0 ≤ t ≤ 2π)