Ois the origin & also the centre of two concentric circles having | Filo
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Class 11

Math

Co-ordinate Geometry

Conic Sections

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is the origin & also the centre of two concentric circles having radii of the inner & the outer circle as \displaystyle{a}&{b} respectively. A line is drawn to cut the inner circle in & the outer circle in is drawn parallel to the -axis & is drawn parallel to the -axis. Prove that the locus of is an ellipse touching the two circles. If the focii of this ellipse lie on the inner circle, find the ratio of inner: outer radii & find also the eccentricity of the ellipse.

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