Question

The length of the common chord of the ellipse $\frac{{(x-3)}^2}{9}+\frac{{(y+2)}^2}{4}=1$ and the circle ${(x-3)}^2+{(y+2)}^2=1$ is

• A. No common chord
• B. one
• C. three
• D. eight

Answer 1

The correct option is A No common chord

Clearly centre of the ellipse and the circle coincide and radius of the circle is 1
and length of semi-minor axis of the ellipse is 2 .
Hence the given circle completely lie inside the ellipse, therefore will not be any common chord.