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

Show that the sum of the ordinate of end of any chord of a system of paralel chords of the parabola y^(2)=4ax 1 is constant.

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

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 is:

The locus of middle points of a family of focal chord of the parabola y^(2) =4 ax is-

If athe coordinates of one end of a focal chord of the parabola y^(2) = 4ax be (at^(2) ,2at) , show that the coordinates of the other end point are ((a)/(t^(2)),(2a)/(t)) and the length of the chord is a(t+(1)/(t))^(2)

If (at^(2) , 2at ) be the coordinates of an extremity of a focal chord of the parabola y^(2) = 4ax , then show that the length of the chord is a(t+(1)/(t))^(2) .

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

Length of the focal chord of the parabola y^2=4ax at a distance p from the vertex is:

The coordinates of one end of a focal chord of the parabola y^(2) = 4 ax are (at^(2) , 2 at ) .prove that the coordinates of the other end must be ((a)/(t^(2)),-(2a)/(t)) .