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The locus of the poles of the chords of ...

The locus of the poles of the chords of the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` which subtend a right angle at its centre is

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The correct Answer is:
`((x^(2))/(a^(2))-(y^(2))/(b^(2)))^(2)((1)/(a^(2))-(1)/(b^(2)))=(x^(2))/(a^(4))+(y^(2))/(b^(4))`
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