The eccentricity of an ellipse is `(1)/(2)` , focus is S (0,0) and the major axis and directrix intersect at Z (-1,-1) . Find the coordinates of the centre of the ellipse .

The eccentricity of an ellipse is (2)/(3) focus is S(5,4) and the major axis and directrix intersect at Z(8,7) . Find the coordinates of the centre of the ellipse .

The eccentricity of an ellipse is (1)/(sqrt(3)) , the coordinates of focus is (-2,1) and the point of intersection of the major axis and the directrix is (-2,3) . Find the coordinates of the centre of the ellipse and also equation of the ellipse .

The eccentricity of an ellipse is (2)/(3) and the coordinates of its focus and the corresponding vertex are (1,2) and (2,2) respectively. Find the equation of the ellipse . Also find the coordinate of the point of intersection of its major axis and the directrix in the same direction .

The eccentricity of an ellipse is (4)/(5) and the coordinates of its one focus and the corresponding vertex are (8,2) and (9,2) . Find the equation of the ellipse. Also find in the same direction the coordinates of the point of intersection of its major axis and the directrix.

The focus of an ellipse is (-1, -1) and the corresponding directrix is x - y + 3 = 0 . If the eccentricity of the ellipse is 1/2, then the coordinates of the centre of the ellipse, are

Find the equation of ellipse whose eccentricity is 2/3 , focus is at (3,0) and vertex is at (1,0). Also find the coordinates of other focus.

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 .

The focus and corresponding directrix of an ellipse are (3, 4) and x+y-1=0 respectively. If the eccentricity of the ellipse is (1)/(2) , then the coordinates of the centre of the ellipse are

The focus and corresponding directrix of an ellipse are (3, 4) and x+y-1=0 respectively. If the eccentricity of the ellipse is (1)/(2) , then the coordinates of the centre of the ellipse are