The locus of the midpoint of the segment joining the focus to a moving point on the parabola `y^2=4a x` is another parabola with directrix (a) `y=0` (b) `x=-a` (c) `x=0` (d) none of these

The locus of the midpoint of the line segment joining the focus to a moving point on the parabola y^2=4a x 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)

Find the locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot

Find the locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot

Show that the locus of point of intersection of perpendicular tangents to the parabola y^2=4ax is the directrix x+a=0.

Find the focus and directrix of the parabola 3x^2 + 12x + 8y=0 .

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

The focus of the parabola y^(2)-x-2y+2=0 is

The locus of the intersection points of pair of perpendicular tangents to the parabola x^2-4x + 4y-8=0 . is

The focus of the parabola y^(2)-4y-8x-4=0 is