Prove that the semi-latusrectum of the parabola `y^2=4ax` is the harmonic mean between the segments of any focal chord of the parabola.

Prove that the semi-latus rectum of the parabola y^(2) = 4ax is the harmonic mean between the segments of any focal chord of the parabola.

The harmonic mean of the segments of a focal chord of the parabola y^(2)=16ax, is

If l denotes the semi-latusrectum of the parabola y^(2)=4ax, and SP and SQ denote the segments of and focal chord PQ, S being the focus then SP, I, SQ are in the relation

Length of the shortest normal chord of the parabola y^2=4ax is

The locus of the middle points of the focal chords of the parabola, y 2 =4x

Find the equations of the normals at the ends of the latus- rectum of the parabola y^2= 4ax. Also prove that they are at right angles on the axis of the parabola.

If b and k are segments of a focal chord of the parabola y^(2)= 4ax , then k =

The locus of the midpoints of the focal chords of the parabola y^(2)=4ax is

Angle between tangents drawn at ends of focal chord of parabola y^(2) = 4ax is

The locus of the middle points of the focal chords of the parabola, y^2=4x is: