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.

Parabola with axis parallel to coordinate axis

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.

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

The locus of the vertex of the family of parabolas y=x^(2)+2ax-1 ,is

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

The locus of the circumcenter of a variable triangle having sides the y-axis, y=2, and lx+my=1, where (1,m) lies on the parabola y^(2)=4x , is a curve C. The coordinates of the vertex of this curve C is

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