# If the incentre of an equilateral triangle is (1, 1) and the equation of its one side is then the equation of the circumcircle of this triangle is : Option 1) Option 2) Option 3) Option 4)

As learnt in concept

Perpendicular distance of a point from a line -

- wherein

is the distance from the line .

Equation of a circle -

- wherein

Circle with centre and radius .

Distance of  O from BC

is

= 2 units

Hence circumcircle has r = 4 and centre (1,1)

Option 1)

Incorrect option

Option 2)

Correct option

Option 3)

Incorrect option

Option 4)

Incorrect option

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