If the tangent at the point (2 \sec \theta, 3 \tan \theta) of the hyperbola \frac{x^2}{4}-\frac{y^2}{9}=1 is parallel to 3 x-y+4=0, then the value of \theta is

CGPET 2016 Solved Paper

Section: Mathematics

Question : 106 of 150

Marks: +1, -0

If the tangent at the point (2 secθ,3‌tan‌θ) of the hyperbola ‌

−‌

=1 is parallel to 3x−y+4=0, then the value of θ is

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