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Consider two circles C1: x^2+y^2-1=0 an...

Consider two circles `C_1: x^2+y^2-1=0` and `C_2: x^2+y^2-2=0`. Let A(1,0) be a fixed point on the circle `C_1` and B be any variable point on the circle `C_2`. The line BA meets the curve `C_2` again at C. Which of the following alternative(s) is/are correct?

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