1.

The locus of the feet of the perpendiculars drawn from either focus on a variable tangent to the hyperbola\[16{{y}^{2}}-9{{x}^{2}}=1\]is

A. \[{{x}^{2}}+{{y}^{2}}=9\]
B. \[{{x}^{2}}+{{y}^{2}}=1/9\]
C. \[{{x}^{2}}+{{y}^{2}}=7/144\]
D. \[{{x}^{2}}+{{y}^{2}}=1/16\]
Answer» E.


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