NDA || Mathematics || Co-ordinate Geometry || parabola || Quiz

Consider a circle with centre lying on the focus of the parabola  such that it touches the directrix of the parabola. Then a point of intersection of the circle and the parabola is

The vertex of the parabola  is:

Equation of the parabola with its vertex at (1,1) and focus (3,1) is:

The directrix of the parabola , is

The locus of pole of tangents to the ellipse with respect to the parabola  is