If `r_1 and r_2` are the lengths of perpendicular chords of the parabola `y^2=4ax` drawn through the vertex, then `(r_1r_2)^(4/3)`

Show that if r_1 and r_2 be the lengths of perpendicular chords of a parabola drawn through the vertex, then (r_1 r_2)^(4/3) = 16a^2 (r_1^(2/3) + r_2^(2/3))

If r_(1), r_(2) be the length of the perpendicular chords of the parabola y^(2) = 4ax drawn through the vertex, then show that (r_(1)r_(2))^(4//3) = 16a^(2)(r_(1)^(2//3) +r_(2)^(2//3))

If r_1 and r_2 be the length sof perpendicular chords of a parabola y^2 = 4x through its vertex, then (r_1 r_2)^(4/3)/(r_1^(2/3) + r_2^(2/3) =

If r_(1) and r_(2) are lengths of perpendicular chords of the parabola drawn through vertex then (r_(1)r_(2))^((4)/(3)) is

Write the length of het chord of the parabola y^(2)=4ax which passes through the vertex and in inclined to the axis at (pi)/(4)

Find the locus of the middle points of all chords of the parabola y^(2) = 4ax , which are drawn through the vertex.

Circles are described on the chords of the parabola y^(2)=4ax drawn though the vertex.The locus of the centres of circle

Show that the locus of the middle points of chords of the parabola y^(2) = 4ax passing through the vertex is the parabola y^(2) = 2ax

Prove that the locus of the middle points of all chords of the parabola y^(2)=4ax passing through the vertex is the parabola y^(2)=2ax