Intersection of Hyperbola with Circle

Intersection of Parabola with Circle

Intersection of Hyperbola with Hyperbola

Intersection of Hyperbola with Parabola

Intersection of Hyperbola with Ellipse

Intersection of Hyperbola with other curve

Intersection of Ellipse with Circle

Intersection of Parabola with Hyperbola

Intersection of line and hyperbola

Intersection of Ellipse with Hyperbola

Find the range of parameter a for which a unique circle will pass through the points of intersection of the hyperbola x^(2)-y^(2)=a^(2) and the parabola y=x^(2). Also,find the equation of the circle.