conic-section

Question: 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 $\varphi$ is



1) ${{45}^{o}}$
2) ${{60}^{o}}$
3) ${{30}^{o}}$
4) ${{75}^{o}}$
Solution: Explanation: No Explanation
Hyperbola

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