1.

The equation of the director circle of the hyperbola \[\frac{{{x}^{2}}}{16}-\frac{{{y}^{2}}}{4}=1\] is given by   [Karnataka CET 2004]

A.            \[{{x}^{2}}+{{y}^{2}}=16\]         
B.            \[{{x}^{2}}+{{y}^{2}}=4\]
C.            \[{{x}^{2}}+{{y}^{2}}=20\]         
D.            \[{{x}^{2}}+{{y}^{2}}=12\]
Answer» E.


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