An ellipse has eccentricity `1/2` and one focus at the point `P(1/2,1)`. Its one directrix is the comionand tangent nearer to the point the P to the hyperbolaof `x^2-y^2=1` and the circle `x^2+y^2=1`.Find the equation of the ellipse.

An ellipse has eccentricity (1)/(2) and one focus at the point P ((1)/(2), 1) . Its one directrix is the common tangent nearer to the point P, to the circle x^(2)+y^(2)=1 and the hyperbola x^(2)-y^(2)=1 . The equation of the ellipse is standard form 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

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, the focus is (1,1) and the directrix is x-y+3=0

An ellipse has directrix x+y=-2 focus at (3,4) eccentricity =1/2, then length of latus rectum is

An ellipse has directrix x+y=-2 focus at (3,4) eccentricity =1//2, then length of latus rectum is

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 .