The distance between the directrices of the hyperbola x = 8 sec θ, y = 8 tan θ, is

Question

Philoid · Accepted Answer

Given: Hyperbola is x = 8 sec θ and y = 8 tan θ

To find: equation of the hyperbola

Formula used:

Standard form of the equation of hyperbola is,

Distance between directrix is given by

x = 8 sec θ and y = 8 tan θ

We know,

sec² θ – tan² θ = 1

Here a = 8 and b = 8

Now,

Hence, distance between directrix,