write an equation of hyperbola having 3/2 as eccentricity. the point (1,-3) as focus and the line y=2 as its corresponding directrix
Here comes a slightly different approach:
1. Let P denotes an arbitrary point on the hyperbola, r the distance of P to the focus F and l the distance of P to the directrix. Then
2. Plug in the values you know:
3. Simplify and re-arrange so that you'll get the equation of the hyperbola in standard form. I've got: