If the focus, center and eccentricity of ellipse are `(3,4)`, `(2,3)` and `1/2` respectively. Then equation of the ellipse is ?

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

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 coordinates of the centre and of a vertex of an ellipse are (-2,-2) and (-2,4) and its eccentricity is (2)/(3) , find the equation of the ellipse .

An ellipse with the eccentricity e = 1/2 has a focus at (0, 0) and the corresponding directix is x+6=0. The equation of the ellipse is

An ellipse with eccentricity e=(1)/(2) has a focus at (0,0) and the corresponding directrix x+6=0 . The equation of the ellipse is

The coordinates of the focus of an ellipse are (1,2) and eccentricity is (1)/(2) , the equation of its directrix is 3x + 4y - 5 = 0 . Find the equation of the ellipse.

The vertices of an ellipse are (-1,2) and (9,2) . If the eccentricity of the ellipse be (4)/(5) , find its equation .

If P is any point on the ellipse with eccentricity 2/3 and foci F_(1),F_(2) such that PF_(1)+PF_(2)=6 ,then the equation of the ellipse

If (-4, 3) and (8, 3) are the vertices of an ellipse whose eccentricity is 5/6 then the equation of the ellipse is