Shortest Distance Of The Point (0, c) From The Parabola y = X2where  is

A point P moves such that the difference between its distance from the origin and from the axis of x is always a constant c. the locus of P is a

The length of the intercept on the normal at the point (at², 2at) of the parabola y² = 4ax made by the circle which is described on the focal distance of the given point as diameter is 

A line bisecting the ordinate PN of a point P(at², 2at), t > 0, on the parabola y² = 4ax is drawn parallel to the axis to meet the curve at Q. If NQ meets the tangent at the vertex at the point T, then the coordinates of T are.

If P, Q, R are three points on a parabola y² = 4ax whose ordinates are in geometrical progression, then the tangents at P and R meet on

If L₁ and L₂ are the length of the segments of any focal chord of the parabola y² = x, then  is equal to