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

Options

A. `(x^(2))/(a^(2))+(y^(2))/(b^(2))+(x)/(a^(2))=0`
B. `(x^(2))/(a^(2))+(y^(2))/(b^(2))+(x)/(a)=0`
C. `(x^(2))/(a^(2))+(y^(2))/(b^(2))+(y)/(b)=0`
D. `(x^(2))/(a^(2))+(y^(2))/(b^(2))+(x)/(a)+(y)/(b)=0`

Answer

B