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equation of circle with centre (-1,2) and passing through the centroid of triangle formed by (3,1), (2,-1), and (1,3) is

equation of circle with centre (-1,2) and passing through the centroid of triangle formed by (3,1), (2,-1), and (1,3) is

Grade:11

1 Answers

Harshit Singh
askIITians Faculty 5964 Points
6 months ago
Dear Student

Coordinates of centroid =( ( x1+x2+x3)/3 , (y1+y2+y3)/3 )
G= ( (6/2) , (3/3) )
G = (2,1)
Now we got centre and a point on circle circumference as well
radius of circle = distance between centre and any point on circumference
by using distance formula
r = √10
Now we got centre,radius.
so equation of circle will be
(x+1)2 + (y-2)2 = 10

Thanks

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