NTA Abhyas JEE Main2020MathematicsCirclePractice

If the radius of the circle passing through the origin and touching the line x + y = 2 at 1,1 is r units, then the value of 3 2 r is

Correct answer

Step-by-step solution

Family of circles touching the given line at the given point is x - 1 2 + y - 1 2 + λ x + y - 2 = 0 It passes through 0,0 , hence 2 - 2 λ = 0 ⇒ λ = 1 So, the equation of the circle is x 2 + y 2 - x - y = 0 Radius = 1 2

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