There are two circles whose equations are x2+y2=9and x2+y2−8x−6y+n2=0, n∈Z having exactly two common tangents. The number of possible values of n, is

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answer is 9.

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Detailed Solution

The coordinates of the centres and radii of thecircles are:Centres: C1(0,0) C2(4,3)Radii r1=3 r2=25−n2,−5

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