Write the distance between the directrices of the hyperbola
x = 8 sec θ, y = 8 tan θ.
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,