Show that the locus of the middle points of chord of an ellipse which paas through a fixed point, is another ellipse

The locus of the mid points of parallel chords of an ellipse is a strraight line

Find the locus of the middle points of equal chords of a circle.

Find the locus of the middle points of chords of an ellipse drawn through the positive extremity of the minor axis

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) .

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) .

Show that the locus of the mid point of chords of a parabola passing through the vertex is a parabola

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

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

Find the locus of the middle points of chord of an ellipse x^2/a^2 + y^2/b^2 = 1 which are drawn through the positive end of the minor axis.