The locus of the midpoints of focal chords of the ellipse is:

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The locus of the midpoints of focal chords of the ellipse

\frac{x^2}{a^2}+\frac{y^2}{b^2}=1

is: (1)

\frac{x^2}{a^2}+\frac{y^2}{b^2}=\frac{ex}{a}

(2)

\frac{x^2}{a^2}-\frac{y^2}{b^2}=\frac{ex}{a}

(3)

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

(4)

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