The vertex `A` of the parabola `y^2 = 4ax` is joined to any point `P` on it and `PQ` is drawn at right angles to `AP` to meet the axis in `Q.` Projection of `PQ ` on the axis is equal to

Through the vertex O of a parabola y^(2) = 4x chords OP and OQ are drawn at right angles to one another. Show that for all position of P, PQ cuts the axis of the parabola at a fixed point.

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 the parabola y^(2)=4ax with its vertex at A.BC is drawn perpendicular to AB meeting the axis at C.The projecton of BC on the axis of the parabola is

Through the vertex of the parabola y^(2)=4ax , chords OA and OB are drawn at right angles to each other . For all positions of the point A, the chord AB meets the axis of the parabola at a fixed point . Coordinates of the fixed point are :

Through the vertex 'O' of parabola y^(2)=4x chords OP and OQ are drawn at right angles to one another.Show that for all positions of P, PQ cuts the axis of the parabola at a fixixed point.Also find the locus of the middle point of PQ.

AB is the chord on the parabola y^(2)=4ax with its vertex at A.BC is drawn perpendicular to AB meeitng the axis at C. The projection of BC on the axis of the parabola is :

PQ is a normal chord of the parabola y^2= 4ax at P,A being the vertex of the parabola. Through P a line is drawn parallel to AQ meeting the x-axis in R. Then the length of AR is : (A) equal to the length of the latus rectum (B) equal to the focal distance of the point P (C) equal to the twice of the focal distance of the point P (D) equal to the distance of the point P from the directrix.

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