(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

PM and PN are perpendiculars upon the axes from any point 'P' on the ellipse. Prove that MN is always normal to a fixed concentric ellipse

2. Relevant equations

3. The attempt at a solution

I assume point P to be (acosθ, bsinθ)

The eqn of line MN is then given by

[itex] bsin\theta x+acos\theta y =absin\theta cos\theta[/itex]

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# Homework Help: Normal to a fixed concentric ellipse

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