Re: HSC 2014 4U Marathon
$Prove that the area enclosed by the ellipse $ \dfrac{x^2}{a^2}+\dfrac{y^2}{b^2} = 1 $ is $ \pi ab $ units.$
$Consider the two hyperbolae $ xy=c^2 $ and $ \left(\dfrac{x}{a}-\dfrac{y}{b}\right)\left(\dfrac{x}{a}+\dfrac{y}{b}\right)=1 $ for positive constants $ a, b, c...