A circle C of radius 1 is inscribed in an equilateral Δ PQR. The points of contact of C with sides PQ,QR, RP are D, E, F respectively. The line PQ is given by the equation \sqrt3x + y − 6 = 0 and the point D is ({3\sqrt3}/2,3/2) . Further, it is given that the origin and the centre of C are on the same side of the line PQ. The equation of circle C is

Correct Answer is : (x−√3)2 + (y−1)2 = 1

JEE Mains Model Paper 19

Question : 44 of 90

Marks: +1, -0

A circle C of radius 1 is inscribed in an equilateral Δ PQR. The points of contact of C with sides PQ,QR, RP are D, E, F respectively. The line PQ is given by the equation √3x + y − 6 = 0 and the point D is (

3√3

) . Further, it is given that the origin and the centre of C are on the same side of the line PQ. The equation of circle C is

(x−2√3)2 + (y−1)2 = 1
(x−2√3)2 + (y+
1
2
)2 = 1
(x−√3)2 + (y+1)2 = 1
(x−√3)2 + (y−1)2 = 1

Validate

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