The locus of mid-points of a focal chord...

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

A

`(x^2)/(a^2)+(y^2)/(b^2)=(ex)/(a)`

B

`(x^2)/(a^2)-(y^2)/(b^2)=(ex)/(a)`

C

`x^2+y^2=a^2+b^2`

D

`(x^2)/(a^2)+(y^2)/(b^2)=(ex)/(a)`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

Locus of mid-point of the focal chord of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with eccentricity e is

Find the locus of the mid-points of normal chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

The locus of he middle points of the chords of the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 which are at a constant disance 'd' form the cantre 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 the poles of normal chords of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(b

The locus of mid points of the chords of the ellipse 2x^(2)+3y^(2)=4 each of which makes an angle 45^(@) with the x - axis is