A parabola of latus rectum `l` touches a fixed equal parabola. The axes of two parabolas are parallel. Then find the locus of the vertex of the moving parabola.

A parabola with latusrectum 8 touches a fixed equal parabola. The axes of two parabola are parallel then the locus of the vertex of moving parabola is A) a circle with radius 4 B) a parabola C) a conic with latusrectum 16 D) a circle with centre at vertex of parabola

If parabola of latus rectum touches a fixed equal parabola,the axes of the two curves being parallel,then the locus of the vertex of the moving curve is

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.

A moving variable parabola, having it's axis parallel to x-axis always touches the given equal parabola y^(2)=4x , the locus of the vertex of the moving parabola.

AP is perpendicular to PB, where A is the vertex of the parabola y^(2)=4x and P is on the parabola.B is on the axis of the parabola. Then find the locus of the centroid of o+PAB .

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

Let A be the vertex and L the length of the latus rectum of the parabola,y^(2)-2y-4x-7=0 The equation of the parabola with A as vertex 2L the length of the latus rectum and the axis at right angles to that of the given curve is: