Auxiliary Circle of Hyperbola
Category : JEE Main & Advanced
Let \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] be the hyperbola, then equation of the auxiliary circle is \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\].
Let \[\angle QCN=\varphi \]. Here P and Q are the corresponding points on the hyperbola and the auxiliary circle \[(0\le \varphi <2\pi )\].
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