1.
Equation of normal to the parabola which passes through is
2.
Let be the centre of the ellipse If the tangent at any point on the ellipse cuts the coordinate axes in and respectively, then
3.
The equation of the circle having and as two tangents and as a diameter is
4.
If lies on the circle which is concentric with the circle , then is equal to
5.
The equation of the circumcircle of the triangle formed by the lines is