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,
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