MathematicsMedium127×since 2002Q3072Let S₁ : x² + y² = 9 and S₂ : (x −-− 2)² + y² = 1. Then the locus of center of a variable circle S which touches S₁ internally and S₂ externally always passes through the points :A(12,±52)\left( {{1 \over 2}, \pm {{\sqrt 5 } \over 2}} \right)(21,±25)B(1, ±\pm± 2)C(2,±32)\left( {2, \pm {3 \over 2}} \right)(2,±23)D(0, ±\pm± 3\sqrt 33)Check answerSkip