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)`

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 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)

If the vertex of a parabola is (0,2), directrix on x-axis then its focus is :

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. x^2=6y

The locus of the midpoints of the portion of the normal to the parabola y^(2)=16x intercepted between the curve and the axis is another parabola whose latus rectum is ___________ .

Find the coordinates of the point of intersection of the axis and the directrix of the parabola whose focus is (3,3) and directrix is 3x-4y=2. Find also the length of the latus rectum.

Find the length of the segment joining the vertex of the parabola y^(2) = 4ax and a point on the parabola, where the line segment makes an angle theta to the x-axis

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. x^2=-9y

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. y^2=-8x