Question

Write a polar equation of a conic with the focus at the origin and the given data.

Hyperbola,      eccentricity 1.5,       directrix y = 2

Answer 1

Step 1:

The directrix of hyperbola is .

The eccentricity of hyperbola is .

The standard form of hyperbola with directrix  is .

Substitute and in standard form.

Solution :

The polar equation of the hyperbola is .