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The locus of the point of intersection o...

The locus of the point of intersection of tangents at the end-points of conjugate diameters of the ellipse `x^(2)/a^(2) + y^(2)/b^(2) = 1`, is

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