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UPSC NDA I 2016 Mathematics Solved Paper

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For the next two (2) items that follow :
Consider the two circles
(x−1)2+(y−3)2=r2 and x2+y2−8x+2y+8=0

[NDA I 2016]

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Question : 41

Total: 120

If the circles intersect at two distinct points, then which one of the following is correct?

r=1
1<r<2
r=2
2<r<8

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