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Analytical Geometry

Cool goIITian

Joined:	13 Aug 2011
Post:	49

27 Jan 2012 23:02:56 IST

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204

circles

Mathematics

there are two circles whose equations are x^2 + y^2 =9 and x^2 +y^2 -8x-6y+n^2 =0, n belongs to I,hav exactly two common tangents.Then the no. of possible values of n ??

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prahlad kumar sharma

Cool goIITian

Joined: 21 Jul 2010

Posts: 88

28 Jan 2012 07:39:30 IST

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to have exactly two common tangetns the circles must have to intersect each other at two points

so, r₁+r₂(distance between their centres)

solve this inequality and u wll get d ans.

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