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

Finding the equations of common tangents of [itex]y^{2}[/itex]=4ax and [itex]x^{2}[/itex]=4by

2. Relevant equations

Equating both curves' derivatives :

[itex]\frac{2a}{y}[/itex]=[itex]\frac{x}{2b}[/itex]

3. The attempt at a solution

Calculated both of the curves' derivatives and equated them .

Used the resulting relation in two point form of straight line equation (y-y1)=m(x-x1) .

Got Stuck now! with too many cuberoots .

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# Common tangents equations

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