Length of the focal chord of the ellipse `x^2/a^2+y^2/b^2= 1` which is inclined to the major axis at angle `theta` is

Show that the length of the focal chords of ellipse x^2/a^2 + y^2/b^2 = 1 which makes an angle theta with the major axis is (2ab^2)/(b^2 cos^2 theta + a^2 sin^2 theta) unit

show that the length of the focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which makes an angle theta with the major axis is (2ab^(2))/(a^(2) sin ^(2) theta+ b^(2) cos^(2) theta) unit.

The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^2=1

The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^2=1

The locus of the mid-points of the chords of the ellipse x^2/a^2+y^2/b^2 =1 which pass through the positive end of major axis, is.

The locus of the mid-points of the chords of the ellipse x^2/a^2+y^2/b^2 =1 which pass through the positive end of major axis, is.

The locus of mid point of focal chords of ellipse x^2 / a^2 +y^2/b^2 =1

The length of the major axis of the ellipse 3x^2+2y^2-6x8y-1=0 is

The locus of midpoints of chords of the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 which pass through the positive end of the major axis is