The locus of the point of intersection of any two perpendicular tangents to the hyperbola is a circle which is called the director circle of the hyperbola, then the eqn of this circle is

\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}+{{b}^{2}}\]

\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}-{{b}^{2}}\]

The locus of the point of intersection of any two perpendicular tangen

1.	The locus of the point of intersection of any two perpendicular tangents to the hyperbola is a circle which is called the director circle of the hyperbola, then the eqn of this circle is
A.	\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}+{{b}^{2}}\]
B.	\[{{x}^{2}}+{{y}^{2}}={{a}^{2}}-{{b}^{2}}\]
C.	\[{{x}^{2}}+{{y}^{2}}=2ab\]
D.	None of these
Answer» C. \[{{x}^{2}}+{{y}^{2}}=2ab\]

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The locus of the point of intersection of any two perpendicular tangents to the hyperbola is a circle which is called the director circle of the hyperbola, then the eqn of this circle is

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