conic-section

Question: The equation of the normal at the point $(a\sec \theta ,\ b\tan \theta )$ of the curve ${{b}^{2}}{{x}^{2}}-{{a}^{2}}{{y}^{2}}={{a}^{2}}{{b}^{2}}$ is



1) $\frac{ax}{\cos \theta }+\frac{by}{\sin \theta }={{a}^{2}}+{{b}^{2}}$
2) $\frac{ax}{\tan \theta }+\frac{by}{\sec \theta }={{a}^{2}}+{{b}^{2}}$
3) $\frac{ax}{\sec \theta }+\frac{by}{\tan \theta }={{a}^{2}}+{{b}^{2}}$
4) $\frac{ax}{\sec \theta }+\frac{by}{\tan \theta }={{a}^{2}}-{{b}^{2}}$
Solution: Explanation: No Explanation
Hyperbola

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