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 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

Shortest distance of the point (0, c) from the parabola y = x²where  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

The tangents at three points A, B, C on the parabola y² = 4x, taken in pairs intersect at the points P, Q and R. If  be the areas of the triangles ABC and PQR respectively, then