Show using algebra that the formula for a circle is aspecial case ofthe formula

Show using algebra that the formula for a circle is aspecial case ofthe formula for an ellipse.2. Show using algebra that the formula for a parabola isa special caseof the formula for an ellipse.3. In the context of a parabola what is a focus? What is adirectrix?What are the advantages of expressing the equation of a parabolainfocus-directrix form?4. What happens to the shape of a parabola as the distancebetween thevertex of the curve and the focus becomes very large? Prove youranswerusing algebra.