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 mid-point of the line segment joning the focus to a moving point on the parabola y^(2)=4ax is another parabola with directrix

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

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 length of latus rectum of parabola whose whose focus is (-6,6) and vertex is (-2,2) is

Consider the parabola whose focus is at (0,0) and tangent at vertex is x-y+1=0 The length of latus rectum is