NTA Abhyas JEE Main2020MathematicsCirclePractice

Consider circles C 1 & C 2 touching both the axes and passing through 4,4 , then the product of radii of these circles is

Correct answer

Step-by-step solution

Since circle touches both the axes and passes through 4,4 , it lies in the first quadrant, so its equation is x - r 2 + y - r 2 = r 2 4,4 lies on it hence r 2 - 16 r + 32 = 0 Hence, the product of roots (radii) = 32

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