The locus of the midpoint of the focal distance of a variable point moving on theparabola `y^2=4a x` is a parabola whose latus rectum is half the latus rectum of the original parabola vertex is `(a/2,0)` directrix is y-axis. focus has coordinates (a, 0)

The locus of the midpoint of the focal distance of a variable point moving on theparabola y^(2)=4ax is a parabola whose (d)focus has coordinates (a,0)(a)latus rectum is half the latus rectum of the original parabola (b)vertex is ((a)/(2),0) (c)directrix is y-axis.

The locus of the mid-point of the focal radii of avariable point moving on the parabola,y^(2)=4ax is C, then the length of latus rectum of C, is

The end points of the latus rectum of the parabola x ^(2) + 5y =0 is

The locus of the midpoint of the line segment joining the focus to a moving point on the parabola y^(2)=4ax is another parabola whose (a) Directrix is y-axis (b) Length of latus rectum is 2a (c)focus is ((a)/(2),0) (d) Vertex is (a,0)

Prove that the locus of the middle pointsof chords of the parabola y^2=4ax through the vertex is also a parabola.Find focus and latus rectum of the locus.

If the focus of a parabola is (2,3) and its latus rectum is 8, then find the locus of the vertex of the parabola.

Find the length of the latus rectum of the parabola whose focus is at (2,3) and directrix is the line x-4y+3=0

Length of latus rectum of a parabola whose focus is (3,3) and directrix is 3x - 4y - 2 = 0 is

PQ is a variable focal chord of the parabola y^(2)=4ax whose vertex is A.Prove that the locus of the centroidof triangle APQ is a parabola whose latus rectum is (4a)/(3) .