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Find the locus of the point P such that ...

Find the locus of the point P such that `PA^2+PB^2=2c^2 ` :where"A(a,0),B(-a,0) and `0 lt |a| lt |c|.`

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The correct Answer is:
`x^(2)+y^(2)=c^(2)-a^(2)`
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