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Let C1 and C2 be two circles with C2 lyi...

Let `C_1 and C_2` be two circles with `C_2` lying inside `C_1`. A circle `C` lying inside `C_1` touches `C_1` internally and `C_2` externally. Statement : 1 Locus of centre of `C` is an ellipse. Statement (2) The locus of the point which moves such that the sum of its distances from two fixed points is a constant greater than the distance between the two fixed points is an ellipse. (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

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