Parabolas, Ellipses, and Hyperbolas (AQA A-Level Further Maths): Flashcards

Curves from intersection of plane and cone

Parallel to curved face of cone

$y^2 = kx$ or $y^2 = 4ax$

$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$

$x = \pm a$ and $y = \pm b$

$\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$

$y = \pm \frac{b}{a}x$

$xy = c^2$

$(x_1, y_1)$

Swap $x$ and $y$ in equation