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Most Important Selected Qs for JEE AdvancedMathematicsCircle

A circle x^2+y^2+4 x-2 2 y+c=0 is the director circle of circle S₁ and S₁ is the director circle of circle S₂ and so on. If the sum of radii of all these circles is 2 , then the value of c is equal to n where n N . Find the value of n .

Correct answer

0032

Step-by-step solution

Radius of given circle = 4+2- c = 6- c = a (say) Now radius of circle S₁= a 2 , radius of circle S₂= a 2 and so on. Now a + a 2 + a 2 + . . =2 (Given) a ( 1 1- 1 2 )=2 a 2 2 -1 =2 a=2- 2 = 6-c 4+2-4 2 =6-c . Hence c=4 2

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