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

A hyperbola with eccentricity e=2 has a focus at (0,0) and corresponding directrix y-1=0 . The equation of the hyperbola is

Focus (4, 0), e = 1/2 , directrix is x -16 = 0. Then equation of the ellipse is

If a ellipse has centre at (0,0), a focus at (-3,0) and the corresponding directrix is 3x + 25 = 0 , then it passes through the point :

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

Equation of the ellipse with eccentricity (1)/(2) and foci at (pm1,0) is

A conic has focus (1,0) and corresponding directrix x+y=5. If the eccentricity of the conic is 2, then its equation 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.

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

The y-axis is the directrix of the ellipse with eccentricity e=(1)/(2) and the corresponding focus is at (3,0), equation to its auxilary circle is