Prove that the sum of the reciprocals of the segments of any focal chord of a parabola is constant .

Show that the sum of the reciprocals of the segments of any focal chord of a parabola y^2=4ax is constant.

Statement - I : The all chords passing through focus of an ellipse , the latus rectum will be the minimum in length . Statement - II : The sum of the reciprocals of the segments of any focal chord of an ellipse Is half of latus rectum .

Show that the product of the ordinates of the ends of a focal chord of the parabola y^(2) = 4ax is constant .

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

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

The sum of the reciprocals of focal distances of a focal chord PO of y^(2)=4ax is

The sum of the reciprocals of focal distances of a focal chord PQ of y^(2) =4ax is