If the tangent on the point \[(2\sec \varphi ,\ 3\tan \varphi )\] of the hyperbola \[\frac{{{x}^{2}}}{4}-\frac{{{y}^{2}}}{9}=1\] is parallel to \[3x-y+4=0\], then the value of f is [MP PET 1998]

If the tangent on the point \[(2\sec \varphi ,\ 3\tan \varphi )\] of t

1.	If the tangent on the point \[(2\sec \varphi ,\ 3\tan \varphi )\] of the hyperbola \[\frac{{{x}^{2}}}{4}-\frac{{{y}^{2}}}{9}=1\] is parallel to \[3x-y+4=0\], then the value of f is [MP PET 1998]
A.	\[{{45}^{o}}\]
B.	\[{{60}^{o}}\]
C.	\[{{30}^{o}}\]
D.	\[{{75}^{o}}\]
Answer» D. \[{{75}^{o}}\]

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If the tangent on the point \[(2\sec \varphi ,\ 3\tan \varphi )\] of the hyperbola \[\frac{{{x}^{2}}}{4}-\frac{{{y}^{2}}}{9}=1\] is parallel to \[3x-y+4=0\], then the value of f is [MP PET 1998]

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