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JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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If the coordinates of a point be given by the equations x=bsec⁡ϕ,y=atan⁡ϕx=b \sec \phi, \quad y=a \tan \phi, then its locus is
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Correct option: D
A hyperbola
Option D (A hyperbola) is correct because the given parametric equations, x=bsec⁡ϕx = b \sec \phi and y=atan⁡ϕy = a \tan \phi, satisfy the equation of a hyperbola.

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