Find the locus of the midpoints of a focal chord of the ellipse      \frac{x\power{2}|a\power{2}}+\frac{y\power{2}|b\power{2}}=1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the locus of the midpoints of a focal chord of the ellipse     
\frac{x\power{2}|a\power{2}}+\frac{y\power{2}|b\power{2}}=1. 

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