Find the equation to the ellipse whose one focus is `(2, 1)`, the directrix is `2x-y+3=0` and the eccentricity is `1/sqrt(2)`.

Find the equation of the ellipse whose focus is (1,0), the directrix is x+y+1=0 and eccentricity is equal to 1/sqrt(2.)

Find the equation of the ellipse whose : One focus is (6, 7) , directrix is x + y + 2 and eccentricity is 1/sqrt(3)

Find equation of the ellipse whose focus is (1,-1), then directrix the line x-y-3=0 and eccentricity 1/2 is

Find the equation of the ellipse whose focus is S(-1, 1), the corresponding directrix is x -y+3=0, and eccentricity is 1/2. Also find its center, the second focus, the equation of the second directrix, and the length of latus rectum.

Find the equation of the ellipse whose focus is (5,6), equation of directrix x+y+2=0 and eccentricity is (1)/(2) .

Find the equation of the ellipse whose focus is (1,-2) the directrix 3x-2y+5=0\ a n d\ eccentricity equal to 1/2.

Find the equation to the parabola whose focus is (-2,1) and directrix is 6x-3y=8 .

Find the equation of the parabola whose focus is at (-1, 1) and the directrix is x+y+1=0 .

Find the equation of the ellipse whose focus is (1,-2) , the corresponding directrix x-y+1=0 and eccentricity (2)/(3) .

Find the equation of the ellipse in the following case: focus is (-2,3) directrix is x+y=0 and e=1/2