One the `x-y` plane, the eccentricity of an ellipse is fixed (in size and position) by 1) both foci 2) both directrices 3)one focus and the corresponding directrix 4)the length of major axis.

The eccentricity of an ellipes, with its centre at the origin, is 1/2. If one of the directrices is x=4, then the equation of the ellipse is-

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)/(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 (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 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 (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 (1)/(2) and its one focus is at S(3,2) , if the vertex nearer of S be A (5,4) , find the equation of the ellipse .

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

Find the equation of an ellipse with eccentricity 1/2 , focus F(1,1) and the line x-y+3 =0 as directrix.

Find the equation of an ellipse whose axes are the x-and y-axis and whose one focus is at (4,0) and eccentricity is 4/5.