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The locus of the point of intersection o...

The locus of the point of intersection of the tangents at the end-points of normal chords of the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`, is

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The correct Answer is:
`(a^(6))/(x^(2))-(b^(6))/(y^(2))=(a^(2)+b^(2))^(2)`
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