Show that the locus of a point that divi...

Show that the locus of a point that divides a chord of slope 2 of the parabola `y^2=4x` internally in the ratio `1:2` is parabola. Find the vertex of this parabola.

Similar Questions

Explore conceptually related problems

The locus of the middle points of the focal chord of the parabola y^(2)=4ax , is

The locus of the middle points of the focal chords of the parabola,y^(2)=4x is:

The locus of point of trisections of the focal chord of the parabola,y^(2)=4x is :

The locus of the middle points of normal chords of the parabola y^(2)=4ax is-

The locus of mid-point of the chords of the parabola y^(2)=4(x+1) which are parallel to 3x=4y is

Find the locus of the mid-points of the chords of the parabola y^(2)=4ax which subtend a right angle at vertex of the parabola.

Prove that the locus of the middle points of all chords of the parabola y^(2)=4ax passing through the vertex is the parabola y^(2)=2ax