Category : JEE Main & Advanced
The equation of the chord joining the points \[P(a\sec {{\varphi }_{1}},\,\,b\tan {{\varphi }_{1}})\] and \[Q(a\,\sec {{\varphi }_{2}},\,b\tan {{\varphi }_{2}})\] is \[\frac{x}{a}\cos \left( \frac{{{\varphi }_{1}}-{{\varphi }_{2}}}{2} \right)-\frac{y}{b}\sin \left( \frac{{{\varphi }_{1}}+{{\varphi }_{2}}}{2} \right)=\cos \left( \frac{{{\varphi }_{1}}+{{\varphi }_{2}}}{2} \right)\].
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