Find the equation of the ellipse whose
eccentricity is `(sqrt(7))/(4)` , focus is `(0, -sqrt(7))` and directrix is `sqrt(7) y + 16 = 0 `

Find the equation of the hyperbola whose eccentricity is (5)/(4) , focus is (0,4) and the directrix is the line 4y - 9 = 0.

Find the equation of the hyperbola whose eccentricity is sqrt(2) , focus is (a,0) and directrix is the line x = (a)/(2) .

Find the equation of the hyperbola whose eccentricity is (5)/(4) , focus is (-5,0) and directrix is the line 5x + 16 = 0.

Find the equation of the hyperbola whose eccentricity is sqrt(3) , focus is at (2,3) and equation of directrix is x + 2y = 1.

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

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

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

Taking the major and minor axes as the axes of coordinates, find the equation of the ellipse whose eccentricity is (sqrt(7)/(4)) and distance between the directrices is (16)/(sqrt(7))

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

Find the equation of the ellipse whose eccentricity is 1/2 , a focus is (2,3) and a directrix is x=7. Find the length of the major and minor axes of the ellipse .