Question

How do you convert `x^2-4xy+4y^2=9` into polar form?

Answer 1

r = `+-` 3 / ( cos `theta` `-` 2 sin `theta` )

Explanation:

The equation represents a pair of straight lines.(`x - 2 y )^2` = 9..
Separately, the equations are `x - 2 y` = 3 and x - 2 y =`-`3..
For polars, use x = r cos `theta` and y = r sin `theta`.