Through the vertex `"O"` of the parabola `y^2=4a x ,` variable chords `O Pa n dO Q` are drawn at right angles. If the variables chord `P Q` intersects the axis of `x` at `R ,` then distance `O R` Varies with different position of `Pa n d Q` Equals the semi latus rectum of the parabola Equals the semi latus rectum of the parabola Equals double the latus rectum 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

Through the vertex ' O^(prime) of the parabola y^2=4a x , variable chords O Pa n dO Q are drawn at right angles. If the variable chord P Q intersects the axis of x at R , then distance O R : (a)equals double the perpendicular distance of focus from the directrix. (b)equal the semi latus rectum of the parabola (c)equals latus rectum of the parabola (d)equals double the latus rectum of the parabola

Find the measure of the angle subtended by the latus rectum of the parabola y^(2) = 4ax at the vertex of the parabola .

Prove that the semi-latus rectum of the parabola y^2 = 4ax is the harmonic mean between the segments of any focal chord of the parabola.

Length of the semi-latus -rectum of parabola : x^(2) = -16y is :

Prove that the semi-latus rectum of the parabola y^(2) = 4ax is the harmonic mean between the segments of any focal chord of the parabola.

If ASC is a focal chord of the parabola y^(2)=4ax and AS=5,SC=9 , then length of latus rectum of the parabola equals

Find the equations of the normals at the ends of the latus-rectum of the parabola y^(2)=4ax Also prove that they are at right angles on the axis of the parabola.

The point of intersection of the tangents at the ends of the latus rectum of the parabola y^(2)=4x is

Directrix of a parabola is x + y = 2. If it’s focus is origin, then latus rectum of the parabola is equal to