Intersection Of Circle With Hyperbola

Intersection of Ellipse with Hyperbola

Intersection of Parabola with Hyperbola

Intersection of Hyperbola with Hyperbola

Intersection of line and hyperbola

Intersection of Hyperbola with Parabola

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.

Statement-I The equation of the directrix circle to the hyperbola 5x^(2)-4y^(2)=20 is x^(2)+y^(2)=1 . Statement-II Directrix circle is the locus of the point of intersection of perpendicular tangents.

The range of a for which a circle will pass through the points of intersection of the hyperbola x^(2)-y^(2)=a^(2) and the parabola y=x^(2) is (A)(-3,-2)(B)[-1,1] (C) (2,4)(D)(4,6)

Intersection of Parabola with Circle

Intersection of Ellipse with Circle