Home
Class 12
MATHS
Show that the locus of the middle point ...

Show that the locus of the middle point of all chords of the parabola `y^2 = 4ax` passing through a fixed point `(h, k)` is `y^2 - ky=2a(x-h)`.

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The locus of the middle points of normal chords 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 the middle points of the focal chords of the parabola, y 2 =4x

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

The locus of the midpoints of the focal chords of the parabola y^(2)=4ax is

The locus of the midpoints of the focal chords of the parabola y^(2)=6x which pass through a fixed point (9,5) is

Find the locus of the midpoint of normal chord of parabola y^2=4ax

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 .

The locus of the middle points of the chords of the parabola y^(2)=4ax which pass through the focus, is

Find the locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot