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^(22)=4ax is

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

Length of the semi-latus -rectum of parabola : x^(2) = -16y 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, being the focusm the SP, I, SQ are in the relation

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.

Semi-latus rectum is the harmonic mean of SP and SQ where P and Q are the extrimities of the focal chord

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

Circle is drawn with end points of latus rectum of the parabola y^2 = 4ax as diameter, then equation of the common tangent to this circle & the parabola y^2 = 4ax is :