Using Following Result Find a Set of Parametric Equation of Conic

question 367

Multiple Choice

Using following result find a set of parametric equation of conic.
Hyperbola: $x = h + a \sec \theta , y = k + b \tan \theta$
Hyperbola: vertices: $( \pm 4,0 )$ ; foci: $( \pm 5,0 )$

• A) \(x = 5 + 4 \sec \theta , y = 5 + 3 \tan \theta\)
• B) \(x = 4 \sec \theta , y = 3 \tan \theta\)
• C) \(x = 5 - 4 \sec \theta , y = 3 \tan \theta\)
• D) \(x = 3 \sec \theta , y = 4 \tan \theta\)
• E) \(x = 5 \sec \theta , y = 4 \tan \theta\)

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