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Let the tangent at a point P on the elli...

Let the tangent at a point P on the ellipse meet the major axis at B and the ordinate from it meet the major axis at A. If Q is a point on the AP such that `AQ=AB`, prove that the locus of Q is a hyperbola. Find the asymptotes of this hyperbola.

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The correct Answer is:
`x=0 and x+y=0`
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