Q. 3

The distance betw A.

B.

C.

D.

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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