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Prove that the chord joining points P(a...

Prove that the chord joining points `P(alpha)` and `Q (beta)` on the ellipse subtends a right angle at the vertex A(a,0) then `tan((alpha)/(2)) tan((beta)/(2))=(-b^(2))/(a^(2))`

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The correct Answer is:
`-(b^(2))/(a^(2))`
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