In the accompanying figure, the center of the circle and one focus of the ellipse coincide...

 

Transcribed Image Text:

In the accompanying figure, the center of the circle and one focus of the ellipse coincide with the focus of the parabola y = 4x. All three curves are symmetric about the x-axis and pass through the origin. The eccentricity of the ellipse is 3/4. Find the equations of the circle and the ellipse. y y = 4x In the accompanying figure, the center of the circle and one focus of the ellipse coincide with the focus of the parabola y = 4x. All three curves are symmetric about the x-axis and pass through the origin. The eccentricity of the ellipse is 3/4. Find the equations of the circle and the ellipse. y y = 4x