Let two circles of radius r_1 = 1 at centre (1, 1) and r_2 = 2 at centre (9, 1) with equation...

Question

Let two circles of radius r_1 = 1 at centre (1, 1) and r_2 = 2 at centre (9, 1) with equation (x-9)^2+(y-1)^2=4. A common tangent is 3x + 4y = , and a third circle of radius 2 touches both. The sum of all integral values of for which this configuration is valid is________.

Accepted Answer

165

JEE Main 2021 Mathematics question

Solution