Through the vertex O of the parabola `y^(2) = 4ax`, a perpendicular is drawn to any tangent meeting it at P and the parabola at Q. Then OP, 2a and OQ are in

From vertex O ofthe parabola y^(2)=4ax perpendicular is drawn at a tangent to the parabola.If it meets the tangent and the parabola at point P and Q respectively then OP.OQ is equal to (A) constant (B) 1(C) -1(D) 2

From a variable point on the tangent at the vertex of a parabola y^(2)=4ax, a perpendicular is drawn to its chord of contact. Show that these variable perpendicular lines pass through a fixed point on the axis of the parabola.

Through the vertex O of the parabola y^(2)=4ax, variable chords O Pand OQ are drawn at right angles.If the variables chord PQ intersects the axis of x at R, then distance OR

AB is a chord of a parabola y^(2)=4ax with the end A at the vertex of the given parabola BC is drawn perpendicular to AB meeting the axis of the parabola at C then the projection of BC on this axis is

The tangents to the parabola y^(2)=4ax at the vertex V and any point P meet at Q. If S is the focus,then prove that SP.SQ, and SV are in G.